The water treatment plant has a tank with a leak. The water tank is leaking at the rate show on the graph. Question 1

Find the rate of change at one of the two identified points

Question 2

Find the unit rate for the lost of water

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

answer is

b.

1.67

hope you get this right.