A tank holds 2000 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, 480) 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, 480) and Q(t, V(t)) can be calculated using
msec - V(t) 480
We begin by calculating the slope when t = 5.
(rounded to the nearest tenth)
Estimate the slope of the tangent line at P(15, 480) by averaging the slopes of two adjacent secant lines.
Looking at the table, the t-values adjacent to t = 15 are
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