To rent a car you need to pay a flat fee plus $0.20 for each mile that you drive. Which equation could be used to solve for the price of the initial fee if the total cost of a rental was $60 when the car was driven 40 miles?(2 points)

Question

Responses

60 + 0.2(40) = x

0.2x + 40 = 60

0.2(60) + x = 40

x + 0.2(40) = 60

Answer 1

To solve for the price of the initial fee in the scenario described, we can define the variables as follows:

• Let \( x \) be the initial flat fee.
• The cost per mile driven is $0.20.
• The total miles driven is 40.

The total cost equation can be expressed as follows:

\[ \text{Total Cost} = \text{Initial Fee} + \text{Cost per Mile} \times \text{Miles Driven} \]

Inserting the known values gives us:

\[ 60 = x + 0.2(40) \]

Rearranging this equation will lead us to a solution for \( x \). This corresponds to the equation:

\[ x + 0.2(40) = 60 \]

Thus, the correct response is:

x + 0.2(40) = 60.