Question

a. p(0)=0
b. p(4)=10
c. p(10)=4
d. p(20)=0

1. after 20 minutes, the bathtub is empty.
2. the bathtub starts out with no water.
3. after 10 minutes, the height of the water is 4 inches.
4. the height of the water is 10 inches after 4 minutes.

2 function c takes time for its input and gives a particular students monday class for its output.
a. use function notation to represent “the student has english at 10:00.”
b. write a statement to describe the meaning of c(11:15)=chemistry.
3 function f gives the distance of a dog from

Explanation:

1.

In function notation $P(t)$, $t$ is the input (time in minutes) and $P(t)$ is the output (height of water in inches). Match the time - value pairs with the descriptions based on this understanding.

2.

a. Since $C$ takes time as input and gives the class as output, for the statement "The student has English at 10:00", we write $C(10:00)=$English.
b. Given $C(11:15) =$ Chemistry, it means at 11:15, the student has Chemistry as their class.

Answer:

1.

A. $P(0) = 0$ corresponds to "The bathtub starts out with no water."
B. $P(4)=10$ corresponds to "The height of the water is 10 inches after 4 minutes."
C. $P(10)=4$ corresponds to "After 10 minutes, the height of the water is 4 inches."
D. $P(20)=0$ corresponds to "After 20 minutes, the bathtub is empty."

2.

a. $C(10:00)=$English
b. The student has Chemistry at 11:15.