Question

A gym membership required cost $20 each exercise class is an additional cost. Jacob took X exercise classes and spent $108 last month on his gym membership. Given that X represents the cost of an exercise class, which model shows how to find the cost of each exercise class?

a) 20X = 108
b) X + 20 = 108
c) 20 + X = 108
d) 20X = 108 - 20

Answer 1

The correct model to find the cost of each exercise class Jacob attended is 20X = 108 - 20, which accounts for the gym's flat fee of $20 and the total paid amount of $108.

Step-by-step explanation:

The question asks us to find the model which shows how to find the cost of each exercise class Jacob attended at the gym. The total amount Jacob spent on his gym membership is $108, and we know that the gym membership has a flat fee of $20 plus an additional cost for each exercise class he took. Because Jacob took X number of classes, each at an unknown cost, the correct model to represent the situation would be the total cost of the gym membership minus the flat fee equals the cost per class times the number of classes. Therefore, the equation is 20X = 108 - 20, which corresponds to answer choice d). This equation can be used to solve for the cost of each exercise class, X, by first subtracting 20 from 108 and then dividing the result by 20.