QuestionThe pool drains at 3 inches/hour. After 5 hours, the depth is 32 inches. Find the point-slope equation.
Studdy Solution
STEP 1
Assumptions1. The swimming pool is being drained at a constant rate of3 inches per hour.
. The depth of the water after5 hours is32 inches.
3. We need to write the equation in point slope form, which is , where is a point on the line and is the slope of the line.
STEP 2
First, we need to find the slope of the function. The slope is the rate at which the pool is being drained.
The negative sign indicates that the depth of the water is decreasing.
STEP 3
Next, we need to find a point on the line. We know that after5 hours, the depth of the water is32 inches. So, we can use the point (5,32).
STEP 4
Now, we can plug in the values for the slope and the point into the point slope form equation.
STEP 5
Substitute the values into the equation.
This is the equation for the function in point slope form, which represents the depth of the water in the swimming pool as it is being drained.
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