Acar starts a journey with a full tank of gas. the equation y=16 - 0.05x relates the number of gallons of gas, y, left in the tank to the number of miles the car has traveled, x. a. what are the x- and y-intercepts of the graph of this equation? b. what does x-intercept represent in the context of this problem? c. what does y-intercept represent in the context of this problem?

We are given that a car starts a journey with a full tank of gas. The equation relates the number of gallons of gas (y) left in the tank to the number of miles the car has traveled(x).

A. We will find y intercept by substituting x=0 in our equation,

Now let us find our x-intercept by substituting y=0 in our equation,

Therefore, x-intercept is 320 and y-intercept is 16.

B. Our x-intercept represents that after travelling 320 miles there were 0 or none gallons of gas left in tank.

C. Our y-intercept represents that there were 16 gallons of gas in car tank when car started the journey.