Answer:
a. \(y=38x\).
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.
\(\text{Mileage of Ann's car}=\frac{\text{228 miles}}{\text{6 gallons}}\)
\(\text{Mileage of Ann's car}=\frac{\text{38 miles}}{\text{ gallon}}\)
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.
