Question

Truck drivers report the mileage, or the number of miles (m)

traveled per gallon of gas (g) for each trip. Which driver
went the farthest on one gallon of gas?

Answer 1

Answer: the correct answer is Andy

Answer 2

Andy went as furthest as possible with a gallon of gasoline

Explanation:

Let

m ----> the distance in miles

g ----> the number of gallons of gas

step 1

Kelley's Mileage

Find the slope of the linear function of Kelley's Mileage

we have the points

(0,0) and (20,50)

`slope=(50-0)/(20-0)\\slope=2.5\ miles/gallon`

the linear equation is

`m=2.5g`

step 2

Andy's Mileage

Find the slope of the linear function of Andy's Mileage

we have the points

(15,78.75) and (30,157.5)

`slope=(157.5-78.75)/(30-15)\\slope=5.25\ miles/gallon`

the linear equation is

`m=5.25g`

step 3

Rick's Mileage

we have

`m=4.8g`

therefore

the slope is
`4.8\ miles/gallon`

step 4

Compare the slopes

`5.25\ miles/gallon > 4.8\ miles/gallon > 2.5\ miles/gallon`

therefore

Andy went as furthest as possible with a gallon of gasoline