Question

at a restaurant, hot chocolate can be purchased in two different cup sizes. a 12-ounce cup costs $3.60 and a 16-ounce cup costs $4.80. is the linear relationship between cup size and cost also proportional? why or why not? yes, the constant of proportionality is 0.3. yes, there is no constant of proportionality. no, the constant of proportionality is 0.3. no, there is no constant of proportionality.

Explanation:

Step1: Calculate cost per ounce (12oz)

$\frac{3.60}{12} = 0.3$

Step2: Calculate cost per ounce (16oz)

$\frac{4.80}{16} = 0.3$

Step3: Check proportionality

A proportional linear relationship has a constant ratio (constant of proportionality) between the two variables. Both ratios equal 0.3, so the relationship is proportional.

Answer:

Yes, the constant of proportionality is 0.3.