Question

A movie theater offers a special pricing for membership. The normal cost is $7.50 per ticket. The membership costs $5 per ticket but an initial fee of $25. After how many tickets are both options the same price?

Answer 1

answer?

Answer 2

Let's represent the total cost of tickets after x number of tickets by C(x).

For normal pricing, C(x) = 7.50x.
For membership pricing, C(x) = 5x + 25.

To find when both options are the same price, we set C(x) = C(x):

7.50x = 5x + 25

Subtracting 5x from both sides, we have:

2.50x = 25

Dividing both sides by 2.50, we get:

x = 10

Therefore, after purchasing 10 tickets, both options will cost the same price.