The cost of renting a carpet cleaner is $ 52 for the first day and $ 26 for each additional

Question

The cost of renting a carpet cleaner is $dollar sign 52$ for the first day and $dollar sign 26$ for each additional day. Which of the following functions gives the cost $C (d)$ , in dollars, of renting the carpet cleaner for $d$ days, where $d$ is a positive integer?

A.

$C (d) = 26 d + 26$

B.

$C (d) = 26 d + 52$

C.

$C (d) = 52 d - 26$

D.

$C (d) = 52 d + 78$

Accepted Answer

Choice A is correct. It's given that the cost of renting a carpet cleaner is $ 52 for the first day and $ 26 for each additional day. Therefore, the cost C d , in dollars, of renting the carpet cleaner for d days is the sum of the cost for the first day, $ 52 , and the cost for the additional d - 1 days, $ 26 d - 1 . It follows that C d = 52 + 26 d - 1 , which is equivalent to C d = 52 + 26 d - 26 , or C d = 26 d + 26 . Choice B is incorrect. This function gives the cost of renting a carpet cleaner for d days if the cost is $ 78 , not $ 52 , for the first day and $ 26 for each additional day. Choice C is incorrect. This function gives the cost of renting a carpet cleaner for d days if the cost is $ 26 , not $ 52 , for the first day and $ 52 , not $ 26 , for each additional day. Choice D is incorrect. This function gives the cost of renting a carpet cleaner for d days if the cost is $ 130 , not $ 52 , for the first day and $ 52 , not $ 26 , for each additional day.

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