Yak Travel Agency arranges trips for climbing Mount Everest. For each trip, they charge an initial fee in addition to \$0.15$0.15dollar sign, 0, point, 15 for each vertical meter climbed. For instance, the price for climbing all the way to the summit, which is 350035003500 meters above the base of the mountain, is \$645$645dollar sign, 645.

Let yyy represent the fee (in dollars) of a trip where they climbed xxx vertical meters.

Complete the equation for the relationship between the fee and vertical distance.

Answers

Answer 1

Answer:

[tex]y = 120 + 0.15x[/tex]

Step-by-step explanation:

Given

[tex]Additional\ Fee = \$0.15[/tex] per vertical meter

[tex]y = fee[/tex] per x meter

[tex]x = vertical\ meter[/tex]

For:

[tex]x = 3500[/tex] --- [tex]y = 645[/tex]

Required

Determine the equation that relates y to x

Let the initial fee be represented with m

The equation that relates y to x is:

[tex]y = Initial\ Fee + Additional\ Fee * Vertical\ Meter[/tex]

This gives

[tex]y = m + 0.15 * x[/tex]

We need to first solve for m

From the question,

[tex]x = 3500[/tex] when [tex]y = 645[/tex]

So:

[tex]645 = m + 0.15 * 3500[/tex]

[tex]645 = m + 525[/tex]

Make m the subject

[tex]m = 645 - 525[/tex]

[tex]m = 120[/tex]

So, the initial fee is $120

Substitute 120 for m in [tex]y = m + 0.15 * x[/tex]

[tex]y = 120 + 0.15 * x[/tex]

[tex]y = 120 + 0.15x[/tex]

Hence, the required equation is: [tex]y = 120 + 0.15x[/tex]


Related Questions

A quadrilateral has vertices A, B, C, and D. A line of reflection is drawn so that A is 6 units away from the line, B is 4 units away from the line, C is 7 units away from the line, and D is 9 units away from the line. When quadrilateral ABCD is reflected about the line of reflection to create a new quadrilateral A'B'C'D', which resulting point is closest to the line of reflection? (1 point) O A' O B O D' OC​

Answers

Answer:

The correct option is O B'

Step-by-step explanation:

We have a quadrilateral with vertices A, B, C and D. A line of reflection is drawn so that A is 6 units away from the line, B is 4 units away from the line, C is 7 units away from the line and D is 9 units away from the line.

Now we perform the reflection and we obtain a new quadrilateral A'B'C'D'.

In order to apply the reflection to the original quadrilateral ABCD, we perform the reflection to all of its points, particularly to its vertices.

Wherever we have a point X and a line of reflection L and we perform the reflection, the new point X' will keep its original distance from the line of reflection (this is an important concept in order to understand the exercise).

I will attach a drawing with an example.

Finally, we only have to look at the vertices and its original distances to answer the question.

The vertice that is closest to the line of reflection is B (the distance is 4 units). We answer O B'

Help will mark Brainliest for the answer

Answers

Answer:

3rd step

Step-by-step explanation:

2*3+3 is not equal to 2*6 because of bidmas we do multiplication first

Helpppppppppppppppppp

Answers

Answer:

first step would be adding 10 to both sides

Step-by-step explanation:

Answer:

add 10 first

Step-by-step explanation:

yepppppppp

PLEASE HELP ASAPPPPPPPPPPP WILL MARK BRAINLIEST!!


The income in dollars for a school talent show can be expressed by 100p - 5p2, where p is the ticket price. What ticket price(s) will result in an income of $0?

Answers

Answer: x = 0, 20

Step-by-step explanation:

The equation would be 100p-5p^2=0

Then factor 100 and -5 by 5

IXL Special Rights Triangle​

Answers

Step-by-step explanation:

Hope this helps, happy learning

Please help me solve this!!

Answers

Answer:

[tex]x=\sqrt{-2},or,x=\sqrt{2}i[/tex]

Step-by-step explanation:

[tex]-3x^2+11=17\\-3^2+11-(11)=17-(11)\\-3x^2=6\\x^2=-2\\x=\sqrt{-2}[/tex] I don't know what level math you're taking but in lower level math this would be undefined, can't be simplified. But some higher levels simplify it with imaginary or complex number representations. So take your pick, but it's still undefined[tex]x=\sqrt{2}i[/tex]

Graph the image of this figure after a dilation with a scale factor of 2 centered at the origin.

Answers

Answer:

The graph of the image is attached below.

Step-by-step explanation:

Let the points of the figure

A(1, -1)B(3, -1)C(1, 2)D(3, 2)

We need to find the image coordinates after the dilation by a scale factor of 2 centered at the origin.

The rule of dilation by a scale factor of 2 is:

Dilation with scale factor 2, multiply by 2.

(x, y) → (2x,2y)

The coordinates of the vertices of the image according to this rule will be:

(x, y) → (2x,2y)

A(1, -1) → (2(1),2(-1)) = A'(2, -2)

B(3, -1) → (2(3),2(-1)) = B'(6, -2)

C(1, 2) → (2(1),2(2)) = C'(2, 4)

D(3, 2) → (2(3),2(2)) = D'(6, 4)

Therefore, the coordinates of the vertices of the image will be:

A'(2, -2)B'(6, -2)C'(2, 4)D'(6, 4)

The graph of the image is attached below.

Can someone please help me with this

Answers

4 because each line cross the x axis (horizontal line) twice.

5. Make your own 2 step equation that has a solution of x = 5 and solve.
it’s not giving me the correct thing i want. i would like for it to give me a 2 step equation that ends up giving me the answer of 3

Answers

Answer:

3x+5=10

Step-by-step explanation:

3x+5=10

it would be solved like this

3x = 15

x = 5

Hope this helped :)

Transform the equation to isolate x: ax = bx + 1. How is the value of x related to the difference of a and b?
(please help me)

Answers

Answer:

x = 1/a-b.

x is the reciprocal of the difference of a and b.

x is 1 over the difference of a and b.

x is the quotient of 1 and the difference of a and b.

Step-by-step explanation:

i did it

The transformation of the given equation ax = bx + 1 for the x will be 1/(a - b).

What is the substitution of an equation?

In the by substitution method, one of the equations is calculated for one of the variables, which is then transferred back into the other equation where the chosen variable is a replacement, and the second equation is then calculated for. The first variable is then home safely.

In other words, substitution is a method to find the value of variables x and y by just substituting x and y to another equation.

The substitution method is more good than the elimination method.

Given that the equation

ax = bx + 1

Transfer bx to the left side

ax- bx = 1

Take common x from the left-hand side

x(a - b) = 1

Divide a - b on both sides

x = 1/(a - b) hence it will be the correct transformation.

For more about the substitution method

https://brainly.com/question/22340165

#SPJ2

For a given input value xxx, the function ggg outputs a value yyy to satisfy the following equation. -4x-6=-5y+2−4x−6=−5y+2minus, 4, x, minus, 6, equals, minus, 5, y, plus, 2 Write a formula for g(x)g(x)g, left parenthesis, x, right parenthesis in terms of xxx. g(x)=g(x)=g, left parenthesis, x, right parenthesis, equals

Answers

Answer:

The function g(x) that outputs a y value to satisfy the equation -4·x - 6 = -5·y + 2 is g(x) = y = 4/5·x + 8/5

Step-by-step explanation:

The y value of the equation that the required function g(x) outputs = -4·x - 6 = -5·y + 2

Therefore, we have;

-4·x - 6 = -5·y + 2

-5·y + 2 = -4·x - 6

-5·y = -4·x - 6 - 2 = -4·x - 8

Therefore, y = (-4·x - 8)/(-5) = 4/5·x + 8/5

y = 4/5·x + 8/5

Which gives;

g(x) = y = 4/5·x + 8/5

Therefore;

The function g(x) that outputs a y value to satisfy the equation -4·x - 6 = -5·y + 2 is g(x) = y = 4/5·x + 8/5

Find the equation of the line that contains the point (- 4, - 5) and parallel to the line 6x + 7y = 13 .

Answers

Y= -6/7x minus 59/7 is correct.
You can find this by graphing.

See attachment for math work and answer.

A class of 20 students wants to form a committee to fundraise for cancer research. If the committee is formed with four students, how many possible committees can be made?

Answers

5 because I had took the test and I had got it right

Answer:

the answer is 24 i just did this test

Step-by-step explanation:

what rational number equals 0.1111111111

Answers

Answer:

1/9

Step-by-step explanation:

1/9 is a fraction, so it is rational.

Answer:

1111111111/1000000000

Step-by-step explanation:

What should be done to both sides of the equation in order to solve y + 8.5 = 17.2?

Add 8.5.
Subtract 17.2.
Add 17.2.
Subtract 8.5.

Answers

Answer:

subtract 8.5

Step-by-step explanation:

this will isolate y

There are 47 tables of 4 and 16 tables of 5 how many customers are in the restaurant

Answers

Answer:

268

Step-by-step explanation:

We need to multiply and add:

47 tables of 4 means there are a total of 47 * 4 = 188 people at these tables.

16 tables of 5 means there are a total of 16 * 5 = 80 people at these tables.

Add them up to get: 188 + 80 = 268 customers total.

confused!!! help out.

Answers

Answer: The mistake is that david messed up on the inverse operation rules. He should have subtracted 2x, not add, and same goes to adding 2 to 33. He should have subtracted 2 not added it.

Step-by-step explanation:

7x - 2 = 2x + 33

7x - 2x - 2 = 33

5x - 2 = 33

5x = 35

x = 7

His parcel is a cuboid with dimensions 10 cm, 20cm and 40 cm. 20 cm 10 cm 40 cm to scale He looks at the prices of two companies, WeDeliver and GoParcels. Not drawn WeDeliver Total cost: Sum, in cm, of the 3 dimensions * £0.80 Find the cost of sending the parcel with each company. Give each of your answers

Answers

Answer:

For WeDeliver= $224

For GoParcels = $56

Step-by-step explanation:

Since we are told his parcel is a cuboid with dimensions 10cm, 20cm, and 40 cm, it means the parcel consists of 4 edges of 10 cm, 4 edges of 20 cm, and 4 edges of 40 cm.

For WeDeliver, the Total Cost is:

Sum, in cm, of the dimensions x 0.80, which is, (10cm *4) + (20cm *4) + (40cm *4)  = 280cm x 0.80 = $224. While

For GoParcels, the Total Cost is:

Total area, in [tex]cm^{2}[/tex], of all 6 faces, x .02

Remember that a cuboid has six (6) faces or sides, so the total area would be gotten by taking note of the length of each visible side of the parcel and then multiplying to get the other side after which we sum after doing so we get:

[tex]800^{cm2}[/tex] for front side[tex]800^{cm2}[/tex] for the backside[tex]400^{cm2}[/tex] for the top[tex]400^{cm2}[/tex] for the bottom[tex]200^{cm2}[/tex] for the left side[tex]200^{cm2}[/tex] for the right side.

Total area = [tex]2,800^{cm2}[/tex] * 0.02 = $56

Answer:

Step-by-step explanation:

224 56

is (-1,1) a solution for the system

y=2x=3

y=-x

Answers

Answer:

Yes

Step-by-step explanation:

Substitute the x and y values of the point into the x and y values of the equation.

[tex]1=2(-1)+3\\1=-2+3\\1=1\\:)\\\\1=-(-1)\\1=1\\:)[/tex]

Hope this helped!

help me im really bad at this stuff

Answers

Answer:

We conclude that the estimated volume of a cylinder is 288 in.³

Step-by-step explanation:

Given

r = 3.75 inchesh = 6.21 inches

The formula to determine the volume of a cyliner is:

[tex]V=\pi r^2h[/tex]

substituting the values r = 3.75 inches, h = 6.21 inches, and π = 3.14 in the formula to calculate the volume of a cylinder.

[tex]V=\pi r^2h[/tex]

[tex]V=\left(3.14\right)\left(3.75\right)^2\times 6.21[/tex]

[tex]V=274[/tex] in.³

Therefore, from the given options, we conclude that the estimated volume of a cylinder is 288 in.³

Help me please I have to have this done in 5 minutes

Answers

Answer:

F (-1,5)

Step-by-step explanation:

Since the problem gives you the graph, all you have to do is see which point falls in the shaded part. F is the answer since J is on the line. If the equality was less than or equal, then it would be F and J.

Answer:

1,5

Step-by-step explanation: there may be a negitive number

−3x−7<14

please help me

Answers

Answer:

x > -7

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define inequality

-3x - 7 < 14

Step 2: Solve for x

Add 7 to both sides:                        -3x < 21Divide -3 on both sides:                  x > -7

Here we see that any value greater than -7 would work as a solution of x.

Step-by-step explanation:

-3x-7<14

-3x<21

3x>-21

x>-21/3

x>-7

HELPPPPP #10 ASAPPPPP PLEASE

Answers

Answer:

A.

Step-by-step explanation:

A, the slope of the function is 1.75, and it represents the rate per mile traveled.

For example, if you travel 6 miles, you would say

f(6)= 1.75(6)+5.00

Hope this makes sense!

Complete the missing value in the solution to the equation.

Answers

It’s 178-9 that’s the answer

help and please explain​

Answers

you need to show the graph

Pls help . due in a few minutes

Answers

54 36
— = —
24 X
——————-

36x24 = 864
864 divided by 54= 16
16+5= 21
X = 21
(I THINK!!)

f (x) = 7(x-1)+8, what is the value of f(4)

Answers

Answer:

29

Step-by-step explanation:

x=4. 4-1=3. 7x3=21. 21+8=29. Viola

Answer:

3/7

Step-by-step explanation:

Last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends StartFraction 1 Over 15 EndFractionof her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been StartFraction 1 Over 10 EndFraction of her paycheck. Which equation can be used to find h, the number of hours Lindsay worked last week?

Answers

Answer:

Let

y--------> cost of the dinner with friends

h--------> the number of hours Lindsay worked last week

we know that

y =\frac{1}{15} *( 10h+60)y=

15

1

∗(10h+60) ------> equation 11

y =\frac{1}{10} *( 10h)y=

10

1

∗(10h) ------> equation 22

equate equation 11 and equation 22

\begin{gathered} \frac{1}{15} *( 10h+60)=\frac{1}{10} *( 10h)\\\\ Multiply\ by\ 150\ both\ sides\\\\ 10*(10h+60)=15*10h\\\\ 100h+600=150h\\\\150h-100h=600\\\\ h=\frac{600}{50} \end{gathered}

15

1

∗(10h+60)=

10

1

∗(10h)

Multiply by 150 both sides

10∗(10h+60)=15∗10h

100h+600=150h

150h−100h=600

h=

50

600

h= 12\ hoursh=12 hours

therefore

the answer is

Lindsay worked 12\ hours12 hours last week

The equation that can be used to find the number of hours is

\frac{1}{15} *( 10h+60)=\frac{1}{10} *( 10h)

15

1

∗(10h+60)=

10

1

∗(10h)

Lindsay worked for about 120 hours last week.

What is an equation?

An equation is used to show the relationship between two or more variables and numbers.

Let h represent the number of hours Lindsay worked last week, hence:

(1/15)(10h + 600) = (1/10)(10h)

40h + 2400 = 60h

h = 120 hours

Lindsay worked for about 120 hours last week.

Find out more on Equation at: https://brainly.com/question/2972832

Random Question That You Can Answer For Points.
1) Which is the better buy, 6 bagels for $3.39 or 8 bagels for $5? Explain.

2) What is 7lb 4 oz converted to ounces?

3) Mr. Swanson bought a package of 10 disposable razors for $6.30. He found that each razor only lasted 1 week. What Was The Cost Per Day?

Answers

Answer:

3) is 9 cents

Step-by-step explanation:

$6.30/70 days = $0.09 = 9 cents

Which image shows the correct position of M (-4,3)?
A graph A
B. graph B
C. graph C
D. graph D

Answers

The answer is A graph A. (x, y) (-4, 3)

Answer: The Answer is graph A

Its right I got it on my test before! I hope this helps!

-Jayden

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