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?

  1. $ 46.60
  2. $ 52.90 
  3. $ 66.90 
  4. $ 86.50 

Answer (Detailed Solution Below)

Option 1 : $ 46.60

Detailed Solution

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Correct Answer: 1

Choice 1 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, 0.70m 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 = 20.00 + 0.70m. It's given that the truck was driven 38 miles, thus m = 38. Substituting 38 into the equation gives c = 20.00 + 0.70(38). Multiplying 0.70(38) gives c = 20.00 + 26.60. Adding these values gives c = 46.60, so the total amount Robert was charged is $46.60.

Choices 2, 3, and 4 are incorrect and may result from setting up the equation incorrectly or from making calculation errors.

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