Question

1. the height of a water bottle in a bathtub, w, is a function of time, t. Let P represent this function. Height is measured in inches and time is in minutes.

match each statement in function with a description.
A: P(0)=0

1. after 20 minutes, the bathtub is empty

2. the bathtub starts out with no water

3. the height of the water is 4 inches

4. the height of the water is 10 inches after 4 minutes.

Answer 1

3. After 10 minutes, the height of the water is 4 inches

Answer:

1) P(20) = 0

2) P(0) = 0

3) P(10) = 4

4) P(4) = 10

Explanation:

We are told that the function P(t) denotes the height of the water in the bath tub.

At P(0) = 0, it means that after 0 minutes, there is no water in the bath tub.

1) If after 20 minutes, the bathtub is empty, then we can depict the function as; P(20) = 0

2) The bath tub starts out with no water. It means at 0 minutes, there was no water in the tub. Thus;

P(0) = 0

3) If after 10 minutes, the height of the water is to be 4 inches, then;

P(10) = 4

4) If the height is 10 inches after 4 minutes, then;

P(4) = 10