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2-62.

One of Teddy's jobs at home is to pump gas for his family's sedan and truck. When he fills the truck up with $12$ gallons of gas, he notices that it costs him $\26.28$.

1. How much does one gallon of gas cost? Explain how you found your answer.

$\frac{26.28}{12\text{ gals}}=\frac{n}{1\text{ gal}}$

Now multiply both sides by $12$ gallons and solve.

$\frac{26.28}{12 \text{ gals}} \cdot 12 \text{ gals}=\frac{n}{1 \text{ gal}}\cdot 12\text{ gals}$

$26.28=12n$

$\frac{26.28}{12}=\frac{12n}{12}$

$n=2.9$

2. How much will it cost him to fill up the sedan if it needs $15$ gallons of gas? Show your work.

Multiply the price per gallon by the number of gallons.

3. When Teddy filled up the tank on his moped, it cost $\8.76$. How much gas did his moped need? Explain how you know.

Use a proportion to show the known price ($\8.76$) over the unknown number of gallons and follow the strategy shown in part (a) to solve.

$\frac{8.76}{\textit{n}}=\frac{2.19}{1}$