Question

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.

Answer 1

Answer:

y-32=3(x-5)

Step-by-step explanation:

The swimming pool is being drained at a constant rate of 3 inches per hour, therefore:

• The rate of change, Slope, m=3 inches per hour

If the depth of the water after 5 hours is 32 inches.

The depth is the dependent variable(as its values varies with time) while the time is the independent variable, we can write this as a pair (x,y)=(5, 32).

The point slope form of the equation of a line is of the form: $y-y_1=m(x-x_1)\\(x_1,y_1)=(5,32), m=3\\ Substituting these values, we obtain:\\y-32=3(x-5)\\This is the equation of the function in point slope form.$