At a restaurant, hot chocolate can be purchased in two different cup sizes. A 12-ounce cup costs $4.80 and a 16-ounce cup costs $6.40.

Is the linear relationship between cup size and cost also proportional? Why or why not?

Yes, there is no constant of proportionality.
Yes, the constant of proportionality is 0.4.
No, the constant of proportionality is 0.4.
No, there is no constant of proportionality.

Answer:

Yes, the constant of proportionality is 0.4.

Step-by-step explanation:

[tex] \frac{4.80}{12} = \frac{48}{120} = \frac{2}{5} = .4[/tex]

[tex] \frac{6.40}{16} = \frac{64}{160} = \frac{2}{5} = .4[/tex]

Yes, the given relation is proportional with a constant of proportionality is 0.4 thus option (B) is correct.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

A 12-ounce cup costs $4.80.

The ratio of cost to ounce = 4.80/12 = 0.4

A 16-ounce cup costs $6.40.

The ratio of cost to ounce = 6.40/16 = 0.4

So constant of proportionality is 2.5.

Hence "Yes, the given relation is proportional with a constant of proportionality is 0.4".

For more information about ratios and proportions,

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