Question

Jordan and Kyle are comparing fuel efficiency of their cars. Jordan found he could travel 180 miles on 12 gallons of gas. Kyle found he can travel 221.1 miles on 13.4 gallons of gas. (a)Determine the gas mileage, in miles per gallon, of each car.(b)Use your answers from part A to determine how many gallons each car would need to travel 99 miles

Answer 1

(a)Jordan's car = 15mpg

Kyle's car = 16.5 mpg

(b)To cover 99 miles

Jordan would need 6.6 gallons while Kyle would need 6 gallons.

Step-by-step explanation:

For Jordan's car:

Distance Covered = 180 Miles

The volume of gas used = 12 gallons

`\begin{gathered} \text{Gas Mileage}=(180)/(12) \\ =15\text{ miles per gallon} \end{gathered}`

For Kyle's car:

Distance Covered = 221.1

The volume of gas used = 13.4 gallons

`\begin{gathered} \text{Gas Mileage}=(221.1)/(13.4) \\ =16.5\text{ miles per gallon} \end{gathered}`

(b)Therefore, the number of gallons that each car would need for 99 miles would be:

For Jordan

`\begin{gathered} 15=(99)/(g) \\ 15g=99 \\ g=(99)/(15) \\ g=6.6\text{ gallons} \end{gathered}`

For Kyle:

`\begin{gathered} 16.5=(99)/(g) \\ 16.5g=99 \\ g=(99)/(16.5) \\ g=6\text{ gallons} \end{gathered}`