Answer:
a. [tex]y=38x[/tex].
b. 266 miles.
Step-by-step 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.
[tex]\text{Mileage of Ann's car}=\frac{\text{228 miles}}{\text{6 gallons}}[/tex]
[tex]\text{Mileage of Ann's car}=\frac{\text{38 miles}}{\text{ gallon}}[/tex]
Since Ann's can travels 38 miles per gallon, so distance covered by using x gallons on gas would be [tex]38x[/tex].
Therefore, our required equation would be [tex]y=38x[/tex].
b. To find distance covered by Ann's car using 7 gallons, we will substitute [tex]x=7[/tex] in the equation:
[tex]y=38(7)[/tex]
[tex]y=266[/tex]
Therefore, Ann's car will travel 266 miles in 7 gallons of gas.
