Question

Penny joined a yoga studio that charges a $25 membership fee and $45 each month. Assume y - total cost and x = number of months.

Answer 1

Is this proportional or non-proportional?

Answer 2

The total cost y for x months is given by the equation:

y = 25 + 45x

So for example, if Penny wants to join for 6 months, the total cost would be:

y = 25 + 45*6
y = 25 + 270
y = $295

Therefore, the total cost for joining the yoga studio for 6 months would be $295.

Answer 3

This relationship is non-proportional because the initial membership fee of $25 is a fixed cost that needs to be paid regardless of the number of months x. In a proportional relationship, the cost would increase or decrease in a linear manner based on the number of months.