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.

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

When T=19 minutes

litres

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17