an amusement park that you are excited to try is 28$ per visit. you have the option to purchase a monthly membership of 90$ and then pay $15 for each visit. how many visits would break the even point where both options would cost about the same

Answer 1

To find the break-even point, we need to equate the cost of the two options.

Let's assume the number of visits required to reach the break-even point is 'x'.

Option 1:
Cost per visit = $28
Number of visits = x
Total cost = 28x

Option 2:
Membership cost = $90
Cost per visit = $15
Number of visits = x
Total cost = 90 + 15x

Setting both options equal to each other:
28x = 90 + 15x

Rearranging the equation:
28x - 15x = 90
13x = 90

Dividing both sides by 13:
x = 90/13 ≈ 6.92

Since we can't have a fraction of a visit, we need to round up to the nearest whole number. Therefore, it would take at least 7 visits to break even between the two options.