Question

The average water level in a retention pond is 6.8 ft. During a drought the water level decreases at a rate of 3 in/ day. A.write a leaner function W that represents the water level W(t) (in feet) t days after the drought begins.

Answer 1

Answer:
`W(t)=-3t+6.8`

Explanation:

1. The form of a linear function is:

`y=mx+b`

Where m is the slope and b is the y-intercept.

2. You know that the water level decreases at a rate of 3 in/day, this means that the slope of the function is -3.

3. The average water level in a retention pond is 6.8 feet, this means that the maximum level of the water is 6.8 feet, because the function decreases while x increases.

4. Then, the linear function is:

`W(t)=-3t+6.8`