Question

A gym offers two packages for yearly memberships the first plane cost $50 to be a member then each time you visit the gym it is five dollars to get in the second plane cost $200 but then it may cost two dollars to get it in each time you visit how many visits we take the second plan to be the better choice?

Answer 1

To determine the better gym membership plan based on the number of visits, we compare the total costs for each plan. It would take more than 50 visits for the second plan, with a $200 membership fee and $2 per visit, to become the better choice compared to the first plan with a $50 fee and $5 per visit.

Step-by-step explanation:

To determine how many visits it would take for the second gym membership plan to become a better choice, we need to compare the total costs for both plans based on the number of gym visits.

Let's define the number of visits as x. For the first plan, the total cost (T1) is the membership fee plus $5 per visit, so T1 = $50 + $5x. For the second plan, the total cost (T2) is the membership fee plus $2 per visit, so T2 = $200 + $2x.

We need to find the value of x where T2 is less than T1:
T2 < T1
$200 + $2x < $50 + $5x
$150 < $3x
x > 50

Therefore, it would take more than 50 visits for the second plan to become the better choice.