A pizza baked at 400°F is removed from the oven at 7:00 PM into a room that is a constant 73°F. After 5 minutes, the pizza is at 300°F. (a) At what time can you begin eating the pizza if you want its temperature to be 135°F? (b) Using a graphing utility, graph the relation between temperature and time. (c) Using INTERSECT, determine the time that needs to elapse before the pizza is 170°F. (d) TRACE the function for large values of time. What do you notice about y, the temperature?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Problem Statement:**

A pizza baked at 400°F is removed from the oven at 7:00 PM into a room that is a constant 73°F. After 5 minutes, the pizza is at 300°F.

**Exercises:**

(a) At what time can you begin eating the pizza if you want its temperature to be 135°F?

(b) Using a graphing utility, graph the relation between temperature and time.

- **Choose the correct graph below**. The graphing window is \([0,135], [0, 400, 80]\).

![Graph A](image-link)
![Graph B](image-link)
![Graph C](image-link)

(c) Using INTERSECT, approximately ___ minutes need to elapse before the pizza is 170°F. (Type an integer or decimal rounded to the nearest tenth as needed.)

(d) Choose the correct answer below.

- A. The temperature of the pizza approaches 0°F.
- B. The temperature of the pizza approaches 400°F.
- C. The temperature of the pizza approaches 327°F.
- D. The temperature of the pizza approaches 73°F.

---

**Graph Description:**

- **Graph A**: A curve that starts at a high temperature and decreases gradually, leveling off as it approaches the ambient room temperature.
  
- **Graph B**: A straight line parallel to the x-axis, indicating a constant value.
  
- **Graph C**: Similar to Graph A, with a curve that starts high and gradually declines, leveling as it approaches the room temperature.

**Instructions:**

Complete the blanks and select the correct options based on the information provided.
Transcribed Image Text:**Problem Statement:** A pizza baked at 400°F is removed from the oven at 7:00 PM into a room that is a constant 73°F. After 5 minutes, the pizza is at 300°F. **Exercises:** (a) At what time can you begin eating the pizza if you want its temperature to be 135°F? (b) Using a graphing utility, graph the relation between temperature and time. - **Choose the correct graph below**. The graphing window is \([0,135], [0, 400, 80]\). ![Graph A](image-link) ![Graph B](image-link) ![Graph C](image-link) (c) Using INTERSECT, approximately ___ minutes need to elapse before the pizza is 170°F. (Type an integer or decimal rounded to the nearest tenth as needed.) (d) Choose the correct answer below. - A. The temperature of the pizza approaches 0°F. - B. The temperature of the pizza approaches 400°F. - C. The temperature of the pizza approaches 327°F. - D. The temperature of the pizza approaches 73°F. --- **Graph Description:** - **Graph A**: A curve that starts at a high temperature and decreases gradually, leveling off as it approaches the ambient room temperature. - **Graph B**: A straight line parallel to the x-axis, indicating a constant value. - **Graph C**: Similar to Graph A, with a curve that starts high and gradually declines, leveling as it approaches the room temperature. **Instructions:** Complete the blanks and select the correct options based on the information provided.
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