Question

Decide whether or not each equation represents a proportional relationship. Answer each question with yes or no.

Volume measured in cups (c) vs. the same volume measured in ounces (z): c = 18z
a. Yes
b. No

Area of a square (A) vs. the side length of the square (s): A = s²
a. Yes
b. No

Answer 1

The equation c = 18z represents a proportional relationship, while the equation A = s² does not.

Step-by-step explanation:

For the equation c = 18z, where c represents the volume in cups and z represents the volume in ounces, we can determine whether it represents a proportional relationship by checking if it can be written in the form y = kx.

In this equation, c = 18z, we can rewrite it as y = 18x, where y represents the cups and x represents the ounces. This equation is in the form y = kx, where k = 18. Therefore, the equation represents a proportional relationship.

For the equation A = s², where A represents the area of a square and s represents the side length of the square, we can determine whether it represents a proportional relationship in the same way.

In this equation, A = s², we cannot rewrite it in the form y = kx, where y represents the area and x represents the side length. Therefore, the equation does not represent a proportional relationship.