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how would you go ahead and fill out this problem. I\'m getting confused along th

ID: 3373556 • Letter: H

Question

how would you go ahead and fill out this problem. I'm getting confused along the way. Thanks! An explanation would be awesome as well! Thanks in advance!

A tank holds 4000 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. If P is the point (15, 1020) on the graph of V, find the slopes of the secant lines PQ when Q is the point on the graph with the following values. Slopes of secant lines passing through P(15, 1020) and Q(t, 1/(0) can be calculated using We begin by calculating the slope when t = 5. Estimate the slope of the tangent line at P(15, 1020) by averaging the slopes of two adjacent secant lines. Looking at the table, the t-values adjacent to t = 15 are

Explanation / Answer

1)

(5, 2740)=> slope = -89.66 degrees

(10,1800)=> slope = -89.63 degrees

(20,412) => slope = -89.52 degrees

(25, 104)=> slope = -89.49 degrees

(30,0) => slope = -89.15 degrees

tangent = -89.575 degrees