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Answer :

Given

8 gallons of gasoline is required to travel 340 miles.

After mechanic repair the car, 7 gallons of gasoline is required to travel 350 miles.

The price of gallon is 4 dollar per gallon.

Explanation

To determine the cost nearest cent per mile to run the car after the mechanic worked,

[tex]\begin{gathered} (\frac{8}{340}-\frac{7}{350})\times4=(\frac{8}{340}-\frac{1}{50})\times4 \\ (\frac{32}{340}-\frac{4}{50})=\frac{1600-1360}{340\times50} \\ \frac{1,600-1,360}{340\times50}=\frac{240}{340\times50}=\frac{24}{1700} \\ \end{gathered}[/tex]

Simplify it again,

[tex]\frac{24}{1700}=\frac{6}{425}=0.0141[/tex]

Answer

Hence the cost is 0.0141 cent per mile.

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