GRAPHS AND FUNCTIONSWriting an equation and drawing its graph to model a real-world...Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 30 liters per minute. There are 500 liters in the pond to start.Let W represent the amount of water in the pond (in liters), and let T represent the number of minutes that water has been added. Write an equation relating Wto T, and then graph your equation using the axes below.W800-700600?500400-?300200-100т391046X

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Asked Sep 25, 2019

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GRAPHS AND FUNCTIONS
Writing an equation and drawing its graph to model a real-world...
Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 30 liters per minute. There are 500 liters in the pond to start.
Let W represent the amount of water in the pond (in liters), and let T represent the number of minutes that water has been added. Write an equation relating W
to T, and then graph your equation using the axes below.
W
800-
700
600
?
500
400-
?
300
200-
100
т
3
9
10
4
6
X
help_outline

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GRAPHS AND FUNCTIONS Writing an equation and drawing its graph to model a real-world... Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 30 liters per minute. There are 500 liters in the pond to start. Let W represent the amount of water in the pond (in liters), and let T represent the number of minutes that water has been added. Write an equation relating W to T, and then graph your equation using the axes below. W 800- 700 600 ? 500 400- ? 300 200- 100 т 3 9 10 4 6 X

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check_circleExpert Solution
Step 1

Let W represents the amount of water in pond in liters and T represents the number of minutes that water has been added,

Since, initially there was 500 liters water in pond, therefore

At T=0, W=500

And since, the water is being added 30 liters per minute,

Therefore,

At T=1, W=500+30=530

Step 2

So, now take two points (0,500) and (1,530) and us...

W-Wo (T-To)
W-Wo T-To
W -500530 -500 (T-0)
1 0
W-500 30T
W 30T 500
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W-Wo (T-To) W-Wo T-To W -500530 -500 (T-0) 1 0 W-500 30T W 30T 500

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Math

Calculus

Functions