To determine the correct equation that can be used to find the number of miles driven for a truck that costs a total of [tex]$42.50 to rent for one day, we follow these steps:
1. Identify the given costs:
- The daily rental rate is $[/tex]25.
- The fee per mile driven is [tex]$0.35.
- The total cost of renting the truck for one day is $[/tex]42.50.
2. Understand the relationship between these costs:
- The total cost ([tex]$42.50) is the sum of the daily rental rate and the cost of miles driven.
- Let \( m \) represent the number of miles driven.
3. Formulate the equation:
- The daily rate is $[/tex]25, which is a fixed cost.
- The cost for miles driven is [tex]$0.35 per mile, so for \( m \) miles, the cost is $[/tex]0.35m.
4. Combine these amounts to form the total cost equation:
- The total cost is the sum of the daily rate and the mileage cost. So, we have:
[tex]\[
\text{Total Cost} = \text{Daily Rate} + \text{Mileage Cost}
\][/tex]
- Substituting the values we get:
[tex]\[
42.50 = 25 + 0.35m
\][/tex]
5. Rearrange the equation to standard form:
- The equation should be set to show all terms clearly:
[tex]\[
25 + 0.35m = 42.50
\][/tex]
Therefore, the correct equation that can be used to find the number of miles driven for a truck that costs a total of [tex]$42.50 to rent for one day is:
\[
\boxed{\$[/tex] 25 + \[tex]$ 0.35m = \$[/tex] 42.50}
\]
Thus, the correct answer is:
A. [tex]$\$[/tex] 25+\[tex]$ 0.35 m=\$[/tex] 42.50$
