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.
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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: \[ \text{gallons used} = \frac{n}{25} \]
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Calculate the total cost of gas: Given the cost of gas is $3.75 per gallon, the total cost \( t \) can be calculated as: \[ t = \text{gallons used} \times \text{cost per gallon} = \left(\frac{n}{25}\right) \times 3.75 \]
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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: \[ \boxed{t = 0.15n} \]