I’m membership at gym A cost $50 for five months . A membership at gym B down the street cause $40 for three months you write two equations in the form of y=kx to try to figure out which membership would be cheaper for a year. What is the value of k for the cheaper membership?

Answer 1

Let's define x as the number of months and y as the total cost in dollars.

For gym A, the equation would be y = 10x since the cost is $50 for 5 months.

For gym B, the equation would be y = (40/3)x since the cost is $40 for 3 months.

To compare both memberships for a year (12 months), we need to find the total cost for each equation when x = 12.

For gym A: y = 10(12) = 120.

For gym B: y = (40/3)(12) = 160.

Comparing the total costs, we can see that gym A is cheaper for a year. Therefore, the value of k for the cheaper membership (gym A) is 10.