A video game club charges a fixed annual membership fee of $20 and $2 per video game rented. Let f (n) represent the total annual cost of renting n video games. Which of the following functions best represents the relationship between f (n) and n if the membership was increased by $15 the next year?

f (n) = 2n + 35

f (n) = 20n + 2

f (n) = 10n + 35

f (n) = 2n + 10

Question

Mathematics

Madonna

6 November, 05:28

A video game club charges a fixed annual membership fee of $20 and $2 per video game rented. Let f (n) represent the total annual cost of renting n video games. Which of the following functions best represents the relationship between f (n) and n if the membership was increased by $15 the next year?

f (n) = 2n + 35

f (n) = 20n + 2

f (n) = 10n + 35

f (n) = 2n + 10

+4

Answers (2)

Know the Answer?

Branson Fry · Answer 1

The total cost for video rental, f (n), is the sum of the membership fee and the cost of renting video game. The latter is the product of cost per video game times n video games. The correct equation used to represent the total cost is,

f (n) = 20 + 2n

Since the membership is increased by 15, the new equation is,

f (n) = 35 + 2n

Teresa Hodge · Answer 2

Since f (n) is a function of both the annual membership fee and the rental fee, then the total annual cost f (n) is the sum of both fees. Where n is the number of video games rented, "2n" represents the rental fee, and "35" represents the membership fee. Therefore:

f (n) = 2n + 35