### Match Equations with Graphs #### Objective: Identify which equation corresponds to each colored curve on the graph. #### Equations: 1. \( 3(1.52)^x \) 2. \( 3(1.25)^x \) 3. \( 3(1.07)^x \) 4. \( 3(0.82)^x \) #### Graph Description: The graph displays five colored lines, each representing a distinct exponential function in the coordinate plane. The lines are colored red (R), blue (B), black (K), green (G), and orange (O). - **Red (R)**: Represents a steep upward curve. - **Blue (B)**: Represents a moderate upward curve. - **Black (K)**: Represents a less steep downward curve. - **Green (G)**: Represents a steep downward curve. - **Orange (O)**: Represents a slight upward curve. #### Task: Match each equation with the corresponding graph above. #### Colors and Options: - a. **red (R)** - b. **blue (B)** - c. **black (K)** - d. **green (G)** - e. **orange (O)** Use the dropdown menus to select the correct color-code (R, B, K, G, O) for each equation based on the graph provided. #### Submit: Click the "Submit Question" button to confirm your selections. --- ### Instructions for Educators: Encourage students to carefully analyze the rate of increase or decrease in each curve to accurately match it with the corresponding equation. Explain how the base of the exponential function affects the steepness and direction of the curve.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Match Equations with Graphs

#### Objective:
Identify which equation corresponds to each colored curve on the graph.

#### Equations:
1. \( 3(1.52)^x \)
2. \( 3(1.25)^x \)
3. \( 3(1.07)^x \)
4. \( 3(0.82)^x \)

#### Graph Description:
The graph displays five colored lines, each representing a distinct exponential function in the coordinate plane. The lines are colored red (R), blue (B), black (K), green (G), and orange (O).

- **Red (R)**: Represents a steep upward curve.
- **Blue (B)**: Represents a moderate upward curve.
- **Black (K)**: Represents a less steep downward curve.
- **Green (G)**: Represents a steep downward curve.
- **Orange (O)**: Represents a slight upward curve.

#### Task:
Match each equation with the corresponding graph above.

#### Colors and Options:
- a. **red (R)**
- b. **blue (B)**
- c. **black (K)**
- d. **green (G)**
- e. **orange (O)**

Use the dropdown menus to select the correct color-code (R, B, K, G, O) for each equation based on the graph provided.

#### Submit: 
Click the "Submit Question" button to confirm your selections.

---

### Instructions for Educators:
Encourage students to carefully analyze the rate of increase or decrease in each curve to accurately match it with the corresponding equation. Explain how the base of the exponential function affects the steepness and direction of the curve.
Transcribed Image Text:### Match Equations with Graphs #### Objective: Identify which equation corresponds to each colored curve on the graph. #### Equations: 1. \( 3(1.52)^x \) 2. \( 3(1.25)^x \) 3. \( 3(1.07)^x \) 4. \( 3(0.82)^x \) #### Graph Description: The graph displays five colored lines, each representing a distinct exponential function in the coordinate plane. The lines are colored red (R), blue (B), black (K), green (G), and orange (O). - **Red (R)**: Represents a steep upward curve. - **Blue (B)**: Represents a moderate upward curve. - **Black (K)**: Represents a less steep downward curve. - **Green (G)**: Represents a steep downward curve. - **Orange (O)**: Represents a slight upward curve. #### Task: Match each equation with the corresponding graph above. #### Colors and Options: - a. **red (R)** - b. **blue (B)** - c. **black (K)** - d. **green (G)** - e. **orange (O)** Use the dropdown menus to select the correct color-code (R, B, K, G, O) for each equation based on the graph provided. #### Submit: Click the "Submit Question" button to confirm your selections. --- ### Instructions for Educators: Encourage students to carefully analyze the rate of increase or decrease in each curve to accurately match it with the corresponding equation. Explain how the base of the exponential function affects the steepness and direction of the curve.
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