Isabel is pulling water up from an old-fashioned well. She lifts the bucket of water at a rate of 4 ft/s, and after 1 s, the bucket is 1 ft below the top of the well. What is the equation in point-slope form of the line that represents the height of the bucket relative to the top of the well?

The equation in point-slope form of the line that represents the height of the bucket relative to the top of the well is .

Step-by-step explanation:

The point-slope form of the equation of the line is represented by the following expression:

(1)

Where:

- Time, measured in seconds.

- Height below the top of the well, measured in feet.

, - Known information of the well, measured in seconds and feet, respectively.

- Slope, measured in feet per second.

If we know that and , then the equation in point-slope form of the line is:

The equation in point-slope form of the line that represents the height of the bucket relative to the top of the well is .

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11