MY NOTES PRACTICE A A tank holds 1,000 gallons of water,

Last updated: 8/11/2022

MY NOTES PRACTICE A A tank holds 1,000 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) 5 686 438 255 116 V (gal) (a) If P is the point (15, 255) 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. (Round your answers to one decimal place.) Slope Q (5, 686) (10, 438) (20, 116) (25, 28) (30, 0) 10 15 20 25 30 28 (b) Estimate the slope of the tangent line at P by averaging the slopes of the two adjacent secant lines corresponding to the two points closest to P. (Round your answer to one decimal place.)