Question

A tank holds 1000 gallons of water, which drains from the bottom of the tank in half an hour. The values in the table show the volume V of water remaining in the tank (in gallons) after t minutes.

 

t (min)

5

10

15

20

25

30

V (gal)

694

444

250

111

28

0

 

A. If P is the point (15, 250) on the graph of V, find the slopes of the secant lines PQ when Q is the point on the graph with t = 5, 10, 20, 25, and 30.

 

B. Estimate the slope of the tangent line at P by averaging the slopes of two secant lines.​

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