Given:
The initial amount of water in the pond = 600 liters
The rate at which water is being added = 25 liters per minute
W represents the amount of water in the pond
T represents the number of minutes that water has been added
The equation that relates W to T is a linear equation where W is the dependent variable and T is the independent variable.
Recall that the general form of a linear equation is:
![\begin{gathered} y\text{ = mx + c} \\ \text{Where m is the slope or the rate of change of y with x} \\ \text{and c is the intercept} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ajkojrlpbpnhydca81tddatktfv7el9c7m.png)
For the given problem;
m = 25 litres per minute
c = 600 litres
Hence, the required equation is:
![W\text{ = 25T + 600}](https://img.qammunity.org/2023/formulas/mathematics/college/1v658ie2low1hd55mx02ch5e1ld6u9fww9.png)
The graph of the equation is shown below. A few points from the graph has been used to create a table for the graph