Question

Todd had 6 gallons of gasoline in his motorbike. After driving 150​ miles, he had 3 gallons left. Compute the​ slope, or rate of change in the amount of gasoline.

Answer 1

So for every gallon he can drive 50 miles. So I think  the slope would be 50/-1

Answer 2

Solution :

Give that,

Todd had 6 gallons of gasoline in his motorbike.After driving 150​ miles, he had 3 gallons left.

When Todd had 6 gallons of gasoline in his motorbike he drived 0 miles,

And When he had 3 gallons left , he had drived 150 miles.

Slope or rate of change = $\frac{3-6}{150-0} =\frac{-3}{150} =-\frac{1}{50} = - 0.02$

Slope or rate of change of gasoline is negative which means gasoline is decreasing with increase in miles.

Slope or rate of change of gasoline= - 0.02 gallons/mile