My car gets 28 miles per gallon, and gasoline costs $2.90 per gallon. If we cons

smileycellist2 2021-10-04 Answered

My car gets 28 miles per gallon, and gasoline costs $2.90 per gallon. If we consider only the cost of gasoline, how much does it cost (in dollars) to drive each mile? Round your answer to the nearest cent.
Choose the TWO fractions that are multiplied together to calculate the solution using dimensional analysis. Make sure that the units of the fractions you choose cross-cancel to produce the unit of your desired answer. You must have the correct two fractions selected at the same time to get credit when you check your answer. You get two attempts to check your answer.
\(\begin{array}{|c|c|}\hline 1\ gallon & 2.90\ dollars \\ \hline 28\ miles & 1\ gallon \\ \hline 1\ gallon&28\ miles\\ \hline 2.90\ dollars&1\ gallon\\ \hline \end{array}\)
If we consider only the cost of gasoline, how much does it cost (in dollars) to drive each mile? Round your answer to the nearest cent.
$ per mile

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Expert Answer

Corben Pittman
Answered 2021-10-05 Author has 11953 answers

Step 1
The car gets 28 miles per gallon, and gasoline costs $2.90 per gallon.
The cost (in dollars) to drive each mile =?
Step 2
The cost of the drive for one mile is calculated as follows:
The cost of one gallon of gasoline is \(\displaystyle=\${2.90}\)
The given car run 28 miles per gallon, hence we can say taht:
The cost of 28 miles is \(\displaystyle=\${2.90}\)
The cost of 1 miles is \(\displaystyle={\frac{{\${2.90}}}{{{28}}}}\)
The cost of 1 miles is \(\displaystyle=\${0.10357}\)
The cost of 1 miles is \(\displaystyle=\${0.10}\) (rounded of to nearest cent)
Answer:
cost per mile
\(\displaystyle={\frac{{{2.90}\ {d}{o}{l}{l}{a}{r}{s}}}{{{1}\ {g}{a}{l}{l}{o}{n}}}}\times{\frac{{{1}\ {g}{a}{l}{l}{o}{n}}}{{{28}\ {m}{i}le{s}}}}={0.10}{\frac{{{d}{o}{l}{l}{a}{r}}}{{{m}{i}le}}}\)

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