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Lesson Performance Task At an amusement park, a person spends $30 on admission and food, and then goes number of rides that cost $2 each. a. Write an equation to represent the total amount A spent at the amusement park if a person goes on anywhere from 0 to 5 rides. b. Represent the relation as a table, as a graph, and as a mapping diagram. c. Find the domain and range, and then determine whether the relation is a function or not.

Lesson Performance Task At an amusement park, a person spends $30 on admission and food, and then goes number of rides that cost $2 each. a. Write an equation to represent the total amount A spent at the amusement park if a person goes on anywhere from 0 to 5 rides. b. Represent the relation as a table, as a graph, and as a mapping diagram. c. Find the domain and range, and then determine whether the relation is a function or not.

Calculus: Early Transcendentals
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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### Lesson Performance Task At an amusement park, a person spends $30 on admission and food, and then goes on \( r \) number of rides that cost $2 each. 1. **Write an equation to represent the total amount \( A \) spent at the amusement park if a person goes on anywhere from 0 to 5 rides.** 2. **Represent the relation as a table, as a graph, and as a mapping diagram.** 3. **Find the domain and range, and then determine whether the relation is a function or not.** ### Explanation of Included Diagram: The image on the right side of the text contains a photograph of a roller coaster against a partly cloudy sky. This serves to visually connect the task to an amusement park setting. The visual aids mentioned in step 2 (the table, graph, and mapping diagram) should illustrate the relationship between the number of rides ( \( r \) ) and the total amount spent ( \( A \) ). Here is an example of each: - **Table**: - \( r = 0 \), \( A = 30 \) - \( r = 1 \), \( A = 32 \) - \( r = 2 \), \( A = 34 \) - \( r = 3 \), \( A = 36 \) - \( r = 4 \), \( A = 38 \) - \( r = 5 \), \( A = 40 \) - **Graph**: - Plot a line graph with the \( x \)-axis representing the number of rides ( \( r \) ) and the \( y \)-axis representing the total amount spent ( \( A \) ). Mark points (0,30), (1,32), (2,34), (3,36), (4,38), and (5,40). - **Mapping Diagram**: - Map each value of \( r \) to its corresponding value of \( A \): - 0 → 30 - 1 → 32 - 2 → 34 - 3 → 36 - 4 → 38 - 5 → 40 ### Analysis: - **Domain**: The domain is the set of possible values of \( r \), which is \(\{0, 1, 2, 3,
Transcribed Image Text:### Lesson Performance Task At an amusement park, a person spends $30 on admission and food, and then goes on \( r \) number of rides that cost $2 each. 1. **Write an equation to represent the total amount \( A \) spent at the amusement park if a person goes on anywhere from 0 to 5 rides.** 2. **Represent the relation as a table, as a graph, and as a mapping diagram.** 3. **Find the domain and range, and then determine whether the relation is a function or not.** ### Explanation of Included Diagram: The image on the right side of the text contains a photograph of a roller coaster against a partly cloudy sky. This serves to visually connect the task to an amusement park setting. The visual aids mentioned in step 2 (the table, graph, and mapping diagram) should illustrate the relationship between the number of rides ( \( r \) ) and the total amount spent ( \( A \) ). Here is an example of each: - **Table**: - \( r = 0 \), \( A = 30 \) - \( r = 1 \), \( A = 32 \) - \( r = 2 \), \( A = 34 \) - \( r = 3 \), \( A = 36 \) - \( r = 4 \), \( A = 38 \) - \( r = 5 \), \( A = 40 \) - **Graph**: - Plot a line graph with the \( x \)-axis representing the number of rides ( \( r \) ) and the \( y \)-axis representing the total amount spent ( \( A \) ). Mark points (0,30), (1,32), (2,34), (3,36), (4,38), and (5,40). - **Mapping Diagram**: - Map each value of \( r \) to its corresponding value of \( A \): - 0 → 30 - 1 → 32 - 2 → 34 - 3 → 36 - 4 → 38 - 5 → 40 ### Analysis: - **Domain**: The domain is the set of possible values of \( r \), which is \(\{0, 1, 2, 3,
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