Question

Two friends, Jeriel and Sophia, had just bought their first cars. Jeriel uses 11 gallons of gas to drive 308 miles in his car. The table below represents the number of miles, y that Sophia can drive her car for every xx gallons of gas.

Answer 1

Sophia's car can travel approximately 8.5 miles farther on one gallon of gas compared to Jeriel's car.

To find out how much farther Sophia's car can travel on one gallon of gas than Jeriel's car, we need to calculate the mileage per gallon for both of them.

For Jeriel:

Mileage per gallon = Total miles / Gallons used

Jeriel ′s Mileage per gallon =
`(308 miles)/(11 gallons)`

For Sophia, we can use the provided table to find the mileage per gallon for each amount of gallons used.

We can then find the difference between Sophia's and Jeriel's mileage per gallon to determine how much farther Sophia's car can travel on one gallon of gas.

Let's calculate:

1. Jeriel's Mileage per gallon:

Jeriels Mileage per gallon=
`(308 miles)/(11 gallons)`J

Jeriel′s Mileage per gallon≈28miles/gallon

2. Sophia's Mileage per gallon for 4 gallons:

 Sophia ′s Mileage per gallon =
`(146 miles)/(4 gallons)`

Sophia′s Mileage per gallon=36.5miles/gallon

Now, we find the difference:

Difference=Sophia′s Mileage per gallon−Jeriel′s Mileage per gallon

Difference=36.5miles/gallon−28miles/gallon

Difference≈8.5miles/gallon

Therefore, Sophia's car can travel approximately 8.5 miles farther on one gallon of gas compared to Jeriel's car.