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Algebra / Linear functions Difficulty: Easy

Sean rents a tent at a cost of $dollar sign 11$ per day plus a onetime insurance fee of $dollar sign 10$ . Which equation represents the total cost $c$ , in dollars, to rent the tent with insurance for $d$ days?

$c = 11 (d + 10)$

$c = 10 (d + 11)$

$c = 11 d + 10$

$c = 10 d + 11$

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Explanation

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

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 $dollar sign left parenthesis d plus 11 right parenthesis$ for $10$ days.

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