Question

question 10
identify whether the relationship is proportional or non - proportional:
a gym charges $15 per class plus a $10 monthly membership fee.
this relationship is __________.

○ non - proportional
○ proportional

Explanation:

Step1: Recall Proportional Relationship

A proportional relationship is of the form \( y = kx \), where there's no constant term (the graph passes through the origin).

Step2: Model the Gym Cost

Let \( x \) be the number of classes, and \( y \) be the total cost. The cost is \( y = 15x + 10 \). Here, there's a constant term (\( 10 \)), so it doesn't fit \( y = kx \). Thus, it's non - proportional.

Answer:

A. non - proportional