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Algebra / Linear functions Difficulty: Easy

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?

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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, 0 point 7 0 m 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 c equals, 20 point 0 0 plus 0 point 7 0 m. It’s given that the truck was driven 38 miles, thus m equals 38. Substituting 38 into the equation gives c equals, 20 point 0 0 plus 0 point 7 0, times 38. Multiplying 0 point 7 0 times 38 gives c equals, 20 point 0 0 plus 26 point 6 0. Adding these values gives c equals 46 point 6 0, 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.