A swimming pool is being drained at a constant rate of 3 inches (depth of the water) per hour. The depth of the water after 5 hours is 32 inches. Write the equation for this function in point slope form

The equation in point slope form is

Step-by-step explanation:

Since the swimming pool is being drained at a constant rate, the equation of the process must be a first-order polynomial (linear function), where depth of water decrease as time goes by. The form of the expression is:

Where:

- Time, measured in hours.

- Initial depth of the water in swimming pool (slope), measured in inches.

- Draining rate, measured in inches per hour.

- Current depth of the water in swimming pool (x-Intercept), measured in inches.

If and , the initial depth of the water in swimming pool is:

The equation in point slope form is:

Where and are initial depth of the water in swimming pool and initial time, respectively. Then, the equation in point slope form is:

1/4 because there is 4 grades.