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A pool is being drained at a constant rate. The amount of water is a function of the number of minutes the pool has been draining, as shown in the table.

Time (min) 12 20 50
Volume (gal) 4962 4754 3974

Write an equation in slope intercept from that represents a function. Then find the amount of water in the pool after two and a half hours.

 Sep 11, 2014

Best Answer 

 #1
avatar+129849 
+10

Using the first two values in the table, we can first find the slope to write an equation of a line, so we have

[4754 - 4962 ] / [20 - 12 ] = -26

So we have

y - 4754 = -26(x - 20) 

y - 4754  = -26x + 520

y = -26x + 5274

Let's confirm that the amount after 50 minutes is correct

y = -26(50) + 5274  = 3974

So after  2 + 1/2 hrs  (150 min) we have

y = -26(150) + 5274  = 1374 gallons

 

 Sep 11, 2014
 #1
avatar+129849 
+10
Best Answer

Using the first two values in the table, we can first find the slope to write an equation of a line, so we have

[4754 - 4962 ] / [20 - 12 ] = -26

So we have

y - 4754 = -26(x - 20) 

y - 4754  = -26x + 520

y = -26x + 5274

Let's confirm that the amount after 50 minutes is correct

y = -26(50) + 5274  = 3974

So after  2 + 1/2 hrs  (150 min) we have

y = -26(150) + 5274  = 1374 gallons

 

CPhill Sep 11, 2014
 #2
avatar+380 
0

Thank you!!!!!!!

 Sep 11, 2014

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