4. The height of water in a bathtub, $$ w $$, is a function of time, $$ t $$. Let $$ P $$ represent this function. Height is measured in inches and time in minutes. Match each statement in function notation with a description: $$ \begin{array}{ll} ext { A. } P(0)=0 & ext { 1. After } 20 ext { minutes, the bathtub is empty. } \ ext { B. } P(4)=10 & ext { 2. The bathtub starts out with no water. } \ ext { C. } P(10)=4 & ext { 3. After } 10 ext { minutes, the height of the water is } 4 ext { inches. } \ ext { D. } P(20)=0 & ext { 4. The height of the water is } 10 ext { inches after } 4 ext { minutes. }\end{array} $$

Question

4. The height of water in a bathtub, $$ w $$, is a function of time, $$ t $$. Let $$ P $$ represent this function. Height is measured in inches and time in minutes. Match each statement in function notation with a description: $$ \begin{array}{ll}	ext { A. } P(0)=0 & 	ext { 1. After } 20 	ext { minutes, the bathtub is empty. } \ 	ext { B. } P(4)=10 & 	ext { 2. The bathtub starts out with no water. } \ 	ext { C. } P(10)=4 & 	ext { 3. After } 10 	ext { minutes, the height of the water is } 4 	ext { inches. } \ 	ext { D. } P(20)=0 & 	ext { 4. The height of the water is } 10 	ext { inches after } 4 	ext { minutes. }\end{array} $$

UpStudy AI · Accepted Answer

Let's match each function statement with the appropriate description:

- **A. $$ P(0) = 0 $$**
  - **Description 2:** The bathtub starts out with no water.
  
- **B. $$ P(4) = 10 $$**
  - **Description 4:** The height of the water is 10 inches after 4 minutes.
  
- **C. $$ P(10) = 4 $$**
  - **Description 3:** After 10 minutes, the height of the water is 4 inches.
  
- **D. $$ P(20) = 0 $$**
  - **Description 1:** After 20 minutes, the bathtub is empty.

**Summary of Matches:**

- **A → 2**
- **B → 4**
- **C → 3**
- **D → 1**
A: 2 B: 4 C: 3 D: 1

The height of water in a bathtub, , is a function of time, . Let represent this function.
Height is measured in inches and time in minutes.
Match each statement in function notation with a description:

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The height of water in a bathtub, , is a function of time, . Let represent this function. Height is measured in inches and time in minutes. Match each statement in function notation with a description: