Choose all of the statements that correctly compare the two functions shown.

Alec's rate of savings is greater than Beth's.

entific

Alec and Beth are saving at the same rate.

Alec started with more money than Beth

mulas

Time

maining

:19:23

Beth started with more money than Alec,

de les

At 10 days, Alec will have $1 more than Beth in savings,

Answer:

b, c and e

Step-by-step explanation:

Given

See attachment for functions

Required

Select all statements that contain both functions

First, calculate the rate (slope) of both functions.

This is calculated as:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

For Alec's

[tex](x_1,y_1) = (0,3)[/tex]

[tex](x_2,y_2) = (2,9)[/tex]

So, the slope is:

[tex]m = \frac{9 - 3}{2 - 0}[/tex]

[tex]m = \frac{6}{2}[/tex]

[tex]m =3[/tex]

For Beth's

[tex](x_1,y_1) = (5,17)[/tex]

[tex](x_2,y_2) = (12,38)[/tex]

So, the slope is:

[tex]m = \frac{38 - 17}{12 - 5}[/tex]

[tex]m = \frac{21}{7}[/tex]

[tex]m =3[/tex]

Beth and Rec have the same slope. Hence, they save at the same rate.

Next, determine the amount they started with.

This implies that we calculate y when x = 0

From Alec's graph.

[tex](x,y) = (0,3)[/tex]

Alec's initial savings is 3

For Beth's savings, we make use of slope formula.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex](x_1,y_1) = (5,17)[/tex]

[tex](x_2,y_2) = (0,y)[/tex]

So, we have:

[tex]3 =\frac{y - 17}{0 - 5}[/tex]

[tex]3 =\frac{y - 17}{ - 5}[/tex]

[tex]y - 17 = -15[/tex]

[tex]y = 17 -15[/tex]

[tex]y = 2[/tex]

Beth's initial savings is 2

Hence, Alec started with more money

Next, is to determine who has more money after 10 days.

Since they save at the same rate, the difference in their savings after any number of days will be the difference in their initial savings.

The difference (d) is calculated as:

[tex]d = 3 - 2[/tex]

[tex]d = 1[/tex]

Hence, Alec will have $1 more than Beth after 10 days

Answer:

its bc and e or Alec and Beth are saving at the same rate. Alec started with more money than Beth. and At 10 days, Alec will have $1 more than Beth in savings.

Step-by-step explanation:

Find the value of x in each figure

1/2 (4x-8y) expanded​

Select the statement that describes this expression: 5 x 3 − (2 x 4) + 5. (2 points)

a
5 more than 3 subtract the product of 2 and 4 plus 5

b
5 times the product of 2 and 4 times 3, then add 5

c
Subtract the product of 2 and 4 from the product of 5 and 3, then add 5

d
5 more than the product of 5 and 3 plus the 2 times 4

please help im stuck on this​

HELP GIVING 20 POINTS
While on vacation in Belmont, Lara went out for a dinner that cost $75. If sales tax in Belmont is 8% and Lara left a 20% tip on $75, what was the total cost of her meal?

if x=49 and y=160 then what is the value of z?

Plsss help mark brainlist

if the sphere shown above has a radius of 15 units , then what is the volume of the sphere ?

y is directly proportional to the square root of (x+2). when x =7 y=2. find y when x =98

Joseph drove to his grandmother's house which is 279 miles away in 4.5 hours. If he continues at the same speed, approximately how long will it take him to drive 325 miles?

Classify the polyhedron. select all that apply-
•non-convex
•non-regular
•convex
•regular

jack surveyed students at his school about whether they use computers or cell phones more. He found that of the 74 seventh-graders he surveyed, 53 said they used their cell phones more. In the 8th grade, 59 students used their cell phone more, compared to 38 who used their computer more. What number should be placed in the orange box below?

Which expression is equivalent to 5 (4x+3)-2

Please you guys I need help!!!! I'll mark branliest !!!!


1. In triangle ABC, Angle A = 2X + 7, Angle B = 5X-15, and Angle C = 6X. What is the value of X and what are the measures of angles A,B, and C?


2. In a triangle XYZ, Angle X= 37 degrees, Angle Y = 45 degrees and Angle Z = 3x + 6. What is the value of X and what is the measure of Angle Z?

Find the value of each variable using sine and cosine. Round your answers to the nearest tenth.

someone actually help me please :/ I REALLY NEED HELP AND NO ONES HELPING

(07.01)
What is the value of x in the equation x + 10 = 13? (4 points)
1-3
0 2 3
3) 13
4) 23

Find the missing side length, 28,25 and x

The perimeter of an isosceles triangle is 45 feet. The length of the shortest side is 11 feet. Find the length of the other two sides (in feet)

Helppp plssssssssssss

Someone please answer this

Solve the following system of linear equations by substitution and determine whether the system has one solution, no solution, or an infinite number of solutions. If the system has one solution, find the solution.
-4x+y=12
-8x+2y=14

Solve the following word problem by creating and solving a system of linear equations. Rachel offers to go to the coffee shop to buy cappuccinos and lattes for her co-workers. She buys a total of nine drinks for $35.75. If cappuccinos cost $3.75 each and the lattes cost $4.25 each, how many of each drink did she buy? a 2 cappuccinos, 7 lattes b 6 cappuccinos, 3 lattes C 4 cappuccinos, 8 lattes d 5 cappuccinos, 4 lattes​

Anyone know how to do this people are answering the question but aren’t choosing two anwsers

$410 is invested in an account earning 4.2% interest (APR), compound quarterly. Write a function showing the value of the account after t years, where the annual growth rate can be found from constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year (APY), to the nearest hundredth of a percent.

Do you think the answer is A, B, C, or D.

The probability of event A is 0.42, and the probability of event B is 0.39. If A and B are independent events, what is P(A and B)?​

What is the are of the triangle?

2(x+50)=16+4x
What is x?

what is the markup percentage based on retail for an item with a dollar mark up of $70.00, cost of $30.00, and retail price of $100.00?