### Lesson Performance TaskAt 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,

Answered: Image /qna-images/answer/fc0f4b6c-81c3-4472-9e1a-3ed7a9e2171f.jpg

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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter1: Expressions And Functions

Section1.8: Interpreting Graphs Of Functions

Problem 4CYU

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Question

### 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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