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 for this function in point slope form: y = -3x+47

Step-by-step explanation:

We are given that a swimming pool is being drained at a constant rate of 3 inches (depth of the water) per hour.

Slope is the rate of change per unit represented by m

So, m = -3

General equation : y = mx+c 1

y represents the depth of water

t represents the time

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

So, y =32 and x =5

Substitute the values in the equation

So,32=-3(5)+c

32=-15+c

32+15=c

47=c

Substitute the value of c and m in 1

So, The equation for this function in point slope form: y = -3x+47

okay wait before i answer, is this for your points on a graph?

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