<PRE><B>Question 404412</B>
The number of gallons of water remaining in a pool t hours after it begun to
 drain is illustrated in the table.
Hours, t _________ Number of gal. of water
0 _________ 20,000
5 _________ 16,500
10 _________ 13,000
15 _________ 9,500
20 _________ 6,000
a. Find a linear model for this data.
Find the slope using the 1st and last data points
m = {{{(6000-20000)/(20-0)}}} = {{{(-14000)/20}}} = -700 is the slope
The equation
g = -700t + 20000
:
b. How many gallons of water will remain in the pool after 26 hours?
g = -700(26) + 20000
g = -18200 + 20000
g = 1800 gal after 26 hrs</PRE>