Question

If the EPA rating for a car is 22 mpg, then the amount of fuel needed for a 763 mile trip is about a. 22.0 gallons b. 34.6 gallons c. 76.3 gallons d. 74.1 gallons

Answer 1

b. 34.6 gallons

Step-by-step explanation

to solver this we can use a rule of three

so

Step 1

Set the proportion

a) let x represents the fuel needed for a 763 mile trip

so

`\begin{gathered} if \\ 22\text{ miles}\Rightarrow1\text{ gallon} \\ then \\ 763\text{ miles}\Rightarrow x\text{ gallons} \end{gathered}`

as the ratio is the same , we can set a proportion

`\begin{gathered} \frac{22\text{ miles}}{1\text{ gallon}}=\frac{762miles}{x\text{ gallons}} \\ 22=(762)/(x) \end{gathered}`

Step 2

solve the equation

`\begin{gathered} 22=(762)/(x) \\ Multiply\text{ both sides by x} \\ 22*x=(762)/(x)*x \\ 22x=762 \\ divide\text{ both sides by 22} \\ (22x)/(22)=(762)/(22) \\ x=34.63 \\ rounded \\ x=34.6 \end{gathered}`

therefore, the answer is

b. 34.6 gallons

I hope this helps you