Question

Seth's father is thinking of buying him a 6-month movie pass for $40. Matinees cost $1 with the pass, and they are normally $3.50 each. How many times must Seth attend matinees to make it worthwhile for his father to buy the pass?

A) 5 times
B) 10 times
C) 15 times
D) 20 times

Answer 1

To make the movie pass worthwhile, Seth must see 16 matinee movies. Since he cannot attend a partial movie, Seth needs to go at least 16 times, making the correct answer 20 times to ensure value from the pass.

Step-by-step explanation:

To determine how many times Seth must attend matinees to make the movie pass worthwhile, we need to calculate the break-even point where the savings from the discounted matinee tickets equal the cost of the pass.

With the pass, Seth's father would save $2.50 per movie (the difference between the regular price of $3.50 and the discounted price of $1 with the pass). To find out how many movies Seth must see to make up the $40 spent on the pass, we divide the cost of the pass by the savings per movie:

$40 ÷ $2.50 = 16

Therefore, Seth must see 16 matinee movies to make buying the movie pass worthwhile. However, since he can't attend a partial movie, he needs to go at least 16 times to benefit from the pass.

The closest answer choice that is more than 16, ensuring that Seth's father gets value from the pass, is 20 times. So, the answer is D) 20 times.