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QuestionFind two fractions to calculate the cost per mile of driving, using 24 miles/gallon and \$2.30/gallon. Round to the nearest cent.

Studdy Solution

STEP 1

Assumptions1. The car's fuel efficiency is24 miles per gallon. The cost of gasoline is $.30 per gallon3. We are asked to find the cost per mile, considering only the cost of gasoline

STEP 2

We need to find the cost per mile. We can use dimensional analysis to do this, which involves multiplying fractions such that the units cancel out to give the desired unit (in this case, dollars per mile).

STEP 3

The two fractions that we need to multiply are "cost of gasoline" and "fuel efficiency of the car". The cost of gasoline is given in dollars per gallon, and the fuel efficiency is given in miles per gallon.
Cost of gasolineFuel efficiency=ollars per gallonMiles per gallon=Dollars per mile\frac{Cost\,of\,gasoline}{Fuel\,efficiency} = \frac{ollars\,per\,gallon}{Miles\,per\,gallon} = Dollars\,per\,mile

STEP 4

Now, plug in the given values for the cost of gasoline and the fuel efficiency to calculate the cost per mile.
Cost per mileFuel efficiency=$2.30 per gallon24 miles per gallon\frac{Cost\,per\,mile}{Fuel\,efficiency} = \frac{\$2.30\,per\,gallon}{24\,miles\,per\,gallon}

STEP 5

Calculate the cost per mile.
Cost per mile=$2.30 per gallon24 miles per gallon=$0.09583 per mileCost\,per\,mile = \frac{\$2.30\,per\,gallon}{24\,miles\,per\,gallon} = \$0.09583\,per\,mile

STEP 6

Round the cost per mile to the nearest cent.
Cost per mile=$0.10 per mileCost\,per\,mile = \$0.10\,per\,mileThe cost to drive each mile, considering only the cost of gasoline, is $0.10.

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