Question

The amount of fuel in a tractor's fuel tank is changing according to the equation y=−3x+40 , where x = time in hours and y = amount in gallons.

What is the rate of change described by the equation? Explain the meaning of the rate of change in this situation.

Answer 1

-3

Explanation:

i think i used my head to the problem to think of it

Answer 2

The rate of change is "-3". Which means the rate at which the tractor uses fuel.

Explanation:

The equation describes a line and any line follows the equation:

y = m*x + c

Where "m" is the rate of change and "c" is the shift on the line. Comparing the equation for the fuel and the equation from the line, the rate of change must be "-3". The rate of change in this context describes the speed at which the tractor uses fuel, at a rate of 3 gallons per hour.