Question sean-r

1.1 Linear Functions - Rate of change applications
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Sean rents a tent at a cost of $11 per day plus a onetime insurance fee of $10. Which equation represents the total cost c , in dollars, to rent the tent with insurance for d days?

A.

c=11d+10

B.

c=10d+11

C.

c = 11 d + 10

D.

c = 10 d + 11

Sean rents a tent at a cost of $ 11 per day plus a onetime insurance

Medium-difficulty · SAT Math · Linear Functions — Rate of change applications. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice C is correct. It’s given that the cost of renting a tent is $11 per day for d days. Multiplying the rental cost by the number of days yields $11d, which represents the cost of renting the tent for d days before the insurance is added. Adding the onetime insurance fee of $10 to the rental cost of $11d gives the total cost c , in dollars, which can be represented by the equation c=11d+10.

Choice A is incorrect. This equation represents the total cost to rent the tent if the insurance fee was charged every day.

Choice B is incorrect. This equation represents the total cost to rent the tent if the daily fee was $d+11 for 10 days.

Choice D is incorrect. This equation represents the total cost to rent the tent if the daily fee was $10 and the onetime fee was $11.