# 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.​

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.​

### Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus