Question

A car can travel 210 miles on 8 gallons of gas. Which equation best represents the linear

relationship between x, the number of gallons of gas, and y, the total distance the car can
travel?

Answer 1

y = 26.25x

Explanation:

Dividing 210 miles by 8 gallons will give you 26.25 miles can be driven for each gallon of gas.

`(210)/(8) =26.25` miles/gallon

Slope can also be represented by
`(105)/(4)` producing
`y = (105)/(4)x`

Answer 2

D = (2 5/8) (miles per gallon)x miles

Explanation:

Total distance traveled = (rate of fuel consumption)(number of gas)

(210 mi / 8 gal)x, or, after reduction,

D = (210/8)x, or

D = (2 5/8) (miles per gallon)x miles