Question

Ozzie filled up the gas tank of his truck and headed out on a road trip. The x- axis on the graph below shows the number of miles Ozzie drove since filling up. The y- axis represents the number of gallons of gas in the truck’s gas tank. Find the x- and y- intercepts. Explain what the x- and y- intercepts mean for Ozzie.

Answer 1

Okay, here we have this:

Considering the provided information, we are going to find the x- and y- intercepts and explain its meaning. So we obtain the following:

Since the x-intercept is the point where the Graph intersects the x-axis (y=0) and the y-intercept is the point where the Graph intersects the y-axis (x=0), we have that:

x-intercept=(300, 0)

y-intercept=(0, 16)

Since the y-axis represents the number of gallons, and the x-axis time, then the y-intercept indicates that when filling the tank it was left with 16 gallons, and the x-intercept indicates that when emptying the tank had traveled 300 miles.