Question

Christopher put 12 gallons of gas in her car. She uses one gallon for every 20 miles he drives.

a. Write an equation to represent the total amount of gas left in his car based upon how many miles she has driven.
b. Find the slope and y-intercept.

Answer 1

Equation: y=(-1/20)x+12.

Slope: -1/20

Y-intercept: (0, 12)

Explanation:

Let x=the number of gallons of gas in Christopher's car.

If we start with 12 gallons, we have the equation: y=(-1/20)x+12.

This equation is already in slope intercept form, so we see that the slope is -1/20, and the y-intercept is (0, 12).

Let me know if this helps!