Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 25 liters per minute.

Question

Owners of a recreation area are filling a small pond with water. They are adding water at a rate of
25
liters per minute. There are
700
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.

Answer 1

This problem can be modeled as a linear equation written as a slope intercept form in which the independent variable is time T in time, the slope is the rate in , in liters per minute, in which water is added to the pond; the intercept is the initial amount of water in the pond at time equals to zero, and the dependent variable is the amount of water in the pond after a period time T.

 

W=25T+700 Is the equation that would model this situation. 

 

The way to graph this equation is to make it the amount of water, in Liters, versus time in minutes in which the W intercept is 700 Liters, and the slope is 25. Moreover, for every minute to the right of the graph, you go up 25 units representing 25 liters of water is being added to the pond for every minute.