Question

Ann's car can travel 228 miles on 6 gallons of gas.

a. Write an equation to represent the distance, y, in miles Ann's car can travel on x gallons of gas.

b. Ann's car used 7 gallons of gas during a trip. How far did Ann drive?

Answer 1

a. Since Ann's can travel 38 miles per gallon, so distance covered by using x gallons on gas would be 38x. Y=38x

b. Ann's car will travel 266 miles in 7 gallons of gas.

Answer 2

a.
`y=38x`.

b. 266 miles.

Explanation:

Let y represent distance in miles and x represent gallons of gas.

a. First of all, we will find mileage of Ann's car by dividing total distance traveled by total fuel consumed.

`\text{Mileage of Ann's car}=\frac{\text{228 miles}}{\text{6 gallons}}`

`\text{Mileage of Ann's car}=\frac{\text{38 miles}}{\text{ gallon}}`

Since Ann's can travels 38 miles per gallon, so distance covered by using x gallons on gas would be
`38x`.

Therefore, our required equation would be
`y=38x`.

b. To find distance covered by Ann's car using 7 gallons, we will substitute
`x=7` in the equation:

`y=38(7)`

`y=266`

Therefore, Ann's car will travel 266 miles in 7 gallons of gas.