Question

A membership at Gym A costs $50 for 5 months. A membership at Gym B down the street costs $40 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

Gym A: $10 per month

Gym B: approximately $13.33 per month

Explanation:

To determine the value of k for the cheaper membership in terms of cost per month, we'll set up equations in the form y = kx, where y is the cost and x is the number of months.

For Gym A:

Cost (y) = $50 for 5 months (x)

So, y = 50, and x = 5

Therefore, k for Gym A: k = y / x = 50 / 5 = 10

For Gym B:

Cost (y) = $40 for 3 months (x)

So, y = 40, and x = 3

Therefore, k for Gym B: k = y / x = 40 / 3 ≈ 13.33 (approximately)

To compare the cost per month for both memberships, we'll use the value of k, which represents the cost per month for each gym:

Gym A: $10 per month

Gym B: approximately $13.33 per month

Based on this analysis, Gym A is the cheaper option in terms of cost per month.

Answer 2

Answer: $10, Gym A.

Explanation:

50 divided by 5 = 10

40 divided by 3 = 13.3