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

Question

to try and figure out which membership would be cheaper for a year. What is the value of k
for the cheaper membership?(1 point)
Remaining Attempts : 3

Answer 1

To compare the costs of the two gym memberships over a year, we first need to express the memberships in terms of a cost per month.

Gym A:

• Cost: $50 for 5 months
• Cost per month: $\frac{50}{5}=10$
• Therefore, the equation for Gym A can be written as: $$y=10x$$ where $y$ is the total cost and $x$ is the number of months.

Gym B:

• Cost: $40 for 3 months
• Cost per month: $\frac{40}{3}\approx 13.33$
• Therefore, the equation for Gym B can be written as: $$y\approx 13.33x$$

Now to find the total cost for each gym membership for 12 months:

1. For Gym A: $$y=10(12)=120$$

2. For Gym B: $$y\approx 13.33(12)\approx 160$$

Now we can compare the total costs for the year:

• Gym A costs $120 for a year.
• Gym B costs approximately $160 for a year.

Thus, Gym A is the cheaper membership.

The value of $k$ for the cheaper membership (Gym A) is 10.