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This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. A tank holds 6000 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) 4146 2682 1440 642 162 0 Exercise (a) If P is the point (15, 1440) 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. (5, 4146) (10, 2682) (20, 642) (25, 162) (30, 0) Step 1 Slopes of secant lines passing through P(15, 1440) and Q(t, V(t)) can be calculated using V (t ) - 1440 m sec t - 15 We begin by calculating the slope when t = 5. msec = - V(5) - 1440 5 - 15 4146(5) X - 1440 5-15 = 270.6 x (rounded to the nearest tenth) Submit Skip (you cannot come back)

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