Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 35 liters per minute. There are 700 liters in the pond to start. Let W represent the total amount of water in the pond (in liters), and let T represent the total number of minutes that water has been added. Write an equation relating W to T . Then use this equation to find the total amount of water after 19 minutes.

Respuesta :

W=700+35T. Then replace T with 19 which will be W=700+35(19) which equals to 1365 total amount of water in liters.

Answer:

Step-by-step explanation:

Given that

1) Owners of a recreation area are filling a small pond with water.

2)  They are adding water at a rate of 35 liters per minute.

3) There are 700 liters in the pond to start.

4) Let W represent the total amount of water in the pond (in liters),

5) let T represent the total number of minutes that water has been added.

Now we have originally 700 litres i.e. when time =0 W =300

Next is rate of change of water per minutes = Positive 35

Thus the linear relationship between w and T has slope as 35 and y intercept as 300

Hence equation is

[tex]y=mx+c\\W=35T+700[/tex]

When T=19 minutes

[tex]W=35(19)+700\\=1365[/tex] litres

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