jwt:

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 [math] of water remaining in the tank (in gallons) after [math] minutes.

[math]

If [math] is the point (15,250) on the graph of [math], find the slopes of the secant lines [math] when [math] is the point on the graph with [math] (a) 5, (b) 10, (c) 20, (d) 25, and (e) 30. Round your answers to the nearest tenth. (f) Estimate the slope of the tangent line at [math] by averaging the slopes of two secant lines using the values of [math] closest to [math].

NOTE: It turns out that the slope of the tangent line is approximately -33.3 (Can you verify that?).

(a) (b) (c) (d) (e) (f)

Your overall score for this problem is