Atank holds 3000 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) 2097 1308 780 303 87 0
(a) if p is the point (15, 780) 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. (round your answers to one decimal place.)

q slope
(5, 2097)
(10, 1308)
(20, 303)
(25, 87)
(30, 0)

The slope of the secant line PQ is the following for each point:

Q                         Slope (a)

(5, 2097)              -131.7 gal/min

(10, 1308)              -105.6 gal/min

(20, 303)               -95.4 gal/min

(25, 87)                  -69.3 gal/min

(30, 0)                   -52 gal/min

Step-by-step explanation:

The slope can be easily obtained by using a linear approximation for the 2 points P and Q. In this case, with the slope a:

            (1)

          (2)

if equations 1 and 2 are subtracted:

associative property hopes this ! : )

step-by-step explanation: