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Linear functions SAT question
Math · Algebra · Easy · Answer it here, explanation included.
Robert rented a truck to transport materials he purchased from a hardware store. He was charged an initial fee of $20.00 plus an additional $0.70 per mile driven. If the truck was driven 38 miles, what was the total amount Robert was charged?
ExplanationShow
Choice A is correct. It’s given that Robert was charged an initial fee of $20.00 to rent the truck plus an additional $0.70 per mile driven. Let m represent the number of miles the truck was driven. Since the rental charge is $0.70 per mile driven, represents the amount Robert was charged for m miles driven. Let c equal the total amount, in dollars, Robert was charged to rent the truck. The total amount can be represented by the equation
. It’s given that the truck was driven 38 miles, thus
. Substituting 38 into the equation gives
. Multiplying
gives
. Adding these values gives
, so the total amount Robert was charged is $46.60.
Choices B, C, and D are incorrect and may result from setting up the equation incorrectly or from making calculation errors.
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