A rental car company charges $45 plus 45 cents per each mile driven.

Part 1. Which of the following could be used to model the total cost of the rental where
m represents the miles driven.

A. C=0.45m+45

B. C=45m+45

C. C=4.5m+45

Part 2. The total cost of driving 350 miles is;

$ (Blank)

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Answer :

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

Context: A rental car company charges $45 plus 45 cents per mile driven.

Part 1: Which of the following could be used to model the total cost of the rental where m represents the miles driven?

  So the total cost is C

     ⇒ initial cost is 45 dollars

         ⇒ thus C = 45

             ⇒ however the rental company charges 45 cents/ 0.45 dollar

                 per 'm' mile

                 ⇒ thus C = 0.45m + 45 ⇒ (A)

Part 2: The total cost of driving 350 miles is?

⇒ we have the equation of our total cost after 'm' miles: C = 0.45m + 45

   ⇒ Total Cost after 350 miles = 0.45 (350) + 45 = $202.50

Answer:

  • Part 1: (A)
  • Part 2: $202.50

Hope that helps!

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