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 & for the cheaper membership? (1 point)

1 answer

For Gym A, the equation in the form of y = kx would be y = 50/5x, where y represents the cost and x represents the number of months.

For Gym B, the equation in the form of y = kx would be y = 40/3x.

In order to find the value of & for the cheaper membership, we need to compare the two equations.

We can set them equal to each other and solve for x:

50/5x = 40/3x

Cross-multiplying, we get:

150x = 200x

Subtracting 200x from both sides, we get:

150x - 200x = 0

Simplifying, we have:

-50x = 0

Dividing both sides by -50, we get:

x = 0

Since the value of x is 0, it means that the cost for both Gym A and Gym B would be $0 for 0 months. Therefore, the value of & for the cheaper membership is undefined.