Question robert
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?
$46.60
$52.90
$66.90
$86.50
Robert rented a truck to transport materials he purchased from a hardware store. He was charged
Easy-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 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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