A membership at gymA cost 50 dollars for 5 months A membership at gym B down the street cost 40 dollars for 3 months you write two equations in the form of y=kx to try and figure out which membership would be cheaper for a year what is the value of k for the cheaper membership

Question

A membership at gymA cost 50 dollars for 5 months A membership at gym B down the street cost 40 dollars for 3 months you write two equations in the form of y=kx to try and figure out which membership would be cheaper for a year what is the value of k for the cheaper membership

Answer 1

Let's represent the cost of a membership at gym A as y = kx, where y is the total cost, k is the value we are trying to find, and x is the number of months. For gym A, with a cost of 50 dollars for 5 months, we have the equation:

50 = k * 5

Simplifying, we get:

10 = k

Now, let's represent the cost of a membership at gym B as y = kx. For gym B, with a cost of 40 dollars for 3 months, we have the equation:

40 = k * 3

Simplifying, we get:

k = 40/3 ≈ 13.333

Comparing the values of k for the two equations, we find that k = 10 is smaller than k ≈ 13.333. Therefore, gym A is the cheaper membership for a year.