Question

this graph shows how the amount of gas remaining is related to the number of miles driven.
gas left in lindsey’s tank
if lindsey drove 35 miles, how many gallons of gas would be left in the tank?
6 gallons 2.5 gallons
4.5 gallons 1.5 gallons

Explanation:

Step1: Determine the slope of the line

The line passes through (0, 8) and (80, 0). The slope \( m \) is calculated as \( m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{0 - 8}{80 - 0}=\frac{-8}{80}=-0.1 \) gallons per mile.

Step2: Find the equation of the line

Using the slope - intercept form \( y = mx + b \), where \( b = 8 \) (y - intercept) and \( m=-0.1 \), the equation is \( y=-0.1x + 8 \).

Step3: Substitute \( x = 35 \) into the equation

Substitute \( x = 35 \) into \( y=-0.1x + 8 \): \( y=-0.1\times35 + 8=-3.5 + 8 = 4.5 \) gallons.

Answer:

4.5 gallons