Question

Tharun subscribes to a monthly DVD rental service.

The service costs $10 per month and the first three
DVD rentals are free, while every DVD rental after
the first three of the month costs $2 each. Which of
the following expressions models the total amount that
Tharun pays, in dollars, in a month when he rents d
DVDs where d> 3 ?
A. 10 + 2d
B. 10 + 3d
C. 10 + 2(d - 3)
D. 10+ 3(d -2)

Answer 1

Option C.

Explanation:

It is given that,

Service cost = $10 per month

Free rental DVD = first 3

Rental after first 3 DVD = $2 per month

We need to find the expressions models for the total amount that Tharun pays, in dollars, in a month when he rents d, DVDs where d>3.

Fixed cost = $10

Rental apply after first three DVD. So,

Variable cost = $2(d-3)

Total cost = Fixed cost + Variable cost

`=10+2(d-3)`

Therefore, the required expression is C.