A car 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?

Question

Dutchess

Mathematics

17 January, 18:15

A car 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?

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Answers (1)

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Shania King · Answer 1

A) Y intercept occurs when x=0. Therefore it is 16

X intercept occurs when y=0. Solve for x and get x=16/.05 or 320

B) x intercept is how many miles you can drive until remaking gas is zero 320 Miles

C) y intercept is amount of gas left in tank when you begin at zero miles or 16 gallons