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Chapter 3: Q22. (page 151)

Movie Rental At a video store, you have two options for renting movies. You can pay \(4 per movie, or you can pay a one-time membership fee of \)10 and then pay only $1.50 per movie. After how many movie rentals will the cost of renting movies with the membership be less than the cost of renting movies without the membership?

Short Answer

Expert verified

After 4 movie rentals the cost of renting movies with the membership will be less than the cost of renting movies without the membership.

Step by step solution

01

Step-1 – Given

Given that:

Per movie rate without membership fee is 4 .

Membership fee is 10 .

Per movie rate with membership fee is 1.50.

02

Step-2 – To determine

We have to find the number of movie rentals after that cost of renting movies with the membership be less than the cost of renting movies without the membership.

03

Step-3 – Calculation

Assume that m = the number of movie rentals.

So the inequality will be:

10+1.5m<4m

10+1.5m−1.5m<4m−1.5m10<2.5mm>102.5m>4

Therefore, after 4 movie rentals the cost of renting movies with the membership will be less than the cost of renting movies without the membership.

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