Question

Michael’s car can travel 25 miles on one gallon of gas. The cost of gas is $3.75 per gallon. Which equation would calculate the total cost of gas, t, based on the number of miles traveled, n?
t=0.11n
t=0.15n
t=1.5n
t=6.67n

Answer 1

To find the total cost of gas, \( t \), based on the number of miles traveled, \( n \), we need to consider how many gallons of gas are used for \( n \) miles and multiply that by the cost per gallon.

1. **Determine gallons of gas used for \( n \) miles:**
Michael's car travels 25 miles on 1 gallon of gas. Therefore, the number of gallons used for \( n \) miles is:
\[
\text{gallons used} = \frac{n}{25}
\]

2. **Calculate the total cost of gas:**
Given the cost of gas is $3.75 per gallon, the total cost \( t \) can be calculated as:
\[
t = \text{gallons used} \times \text{cost per gallon} = \left(\frac{n}{25}\right) \times 3.75
\]

3. **Simplify the equation:**
\[
t = \frac{3.75n}{25}
\]
Dividing 3.75 by 25 gives:
\[
3.75 \div 25 = 0.15
\]
So, we can now write:
\[
t = 0.15n
\]

The correct equation to calculate the total cost of gas based on the number of miles traveled is:
\[
\boxed{t = 0.15n}
\]