Question

Distance driven using 10 gallons of gasoline. Motorcycle 640. Mr Ernest wants to know how many miles he can travel with his motorcycle for each gallon of gas. What is the unit rate in miles per gallon? I’ve attached a picture of the problem.

Answer 1

From the word problem and the table, we know that:

`\text{ If }\frac{640\text{ mi}}{10\text{ gal}},\text{ then }\frac{x\text{ mi}}{1\text{ gal}}`

Then, we can write and solve the following equation:

`\begin{gathered} \frac{640\text{ mi}}{10\text{ gal}}=\frac{x}{1\text{ gal}} \\ \text{ Multiply by 1 gal from both sides} \\ \frac{640\text{ mi}}{10\text{ gal}}\cdot1\text{ gal}=\frac{x}{1\text{ gal}}\cdot1\text{ gal} \\ \frac{640\text{ mi}}{10\text{ gal}}\cdot1\text{ gal}=x \\ \frac{640\text{ mi}}{10}\cdot1=x \\ \frac{640\text{ mi}}{10}=x \\ 64\text{ mi }=x \end{gathered}`

Therefore, the unit rate is 64 miles per gallon.