Question

Joel is looking at the costs of using a gym. He could pay $52 per month for unlimited use or he could pay $12 per month plus $4 per visit. How many visits would he have to make each month to make the $52 per month unlimited use option the cheapest one?

Answer 1

To determine how many visits Joel would have to make each month to make the $52 per month unlimited use option the cheapest one, we can set up an equation.

Let V represent the number of visits Joel would have to make. The cost of the pay-per-visit option is $12 per month plus $4 per visit, so the total cost for V visits using this option would be:

Cost = $12 + $4V

For the unlimited use option, the cost is a flat $52 per month.

To find the point at which the unlimited use option becomes cheaper, we set the two costs equal to each other:

$12 + $4V = $52

Now, solve for V:

$4V = $52 - $12
$4V = $40

Now, divide both sides by 4:

V = $40 / $4
V = 10

So, Joel would need to make 10 visits each month to make the $52 per month unlimited use option the cheapest one for him. If he makes fewer than 10 visits, the pay-per-visit option would be more cost-effective.