8. Make a graph using Thë information below. Be sure to label éach axis. answer The questions. The race was 12 meters long. Chloe got a 2 meter head start and Jillian began at the starting line rode her tricycle 3 meters every 4 and rode 1 meter every second. seconds.

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Problem 8: Graphing and Analysis**

**Instructions:**

Make a graph using the information provided below. Be sure to label each axis. Then answer the following questions.

**Information:**

- Chloe got a 2-meter head start and rode her tricycle 3 meters every 4 seconds.
- Jillian began at the starting line and rode 1 meter every second.
- The race was 12 meters long.

**Graph Details:**

- The graph should be plotted on a grid with appropriate labels on the axes. 
- The x-axis represents time in seconds.
- The y-axis represents distance in meters.

**Tasks:**

a) Who wins the race? ____________

b) At what time are the girls tied? ________________________

c) After how many seconds does Chloe finish the race? ____________

**Explanation for Graph Construction:**

1. **Chloe's Path:**
   - Starts at 2 meters (initial position on y-axis).
   - Travels 3 meters every 4 seconds, which implies Chloe's speed is 0.75 meters per second.

2. **Jillian's Path:**
   - Starts at 0 meters.
   - Travels 1 meter every second, which means Jillian's speed is 1 meter per second.

**Graph Plotting Steps:**

- Plot Chloe's starting point at (0, 2) and draw a line with a slope representing her speed.
- Plot Jillian's starting point at (0, 0) and draw a line with a slope representing her speed.
- Extend both lines until they reach or pass 12 meters to identify when the race is completed.

By plotting these lines accurately, you can determine the winner, the time when they are tied, and when each finishes the race.
Transcribed Image Text:**Problem 8: Graphing and Analysis** **Instructions:** Make a graph using the information provided below. Be sure to label each axis. Then answer the following questions. **Information:** - Chloe got a 2-meter head start and rode her tricycle 3 meters every 4 seconds. - Jillian began at the starting line and rode 1 meter every second. - The race was 12 meters long. **Graph Details:** - The graph should be plotted on a grid with appropriate labels on the axes. - The x-axis represents time in seconds. - The y-axis represents distance in meters. **Tasks:** a) Who wins the race? ____________ b) At what time are the girls tied? ________________________ c) After how many seconds does Chloe finish the race? ____________ **Explanation for Graph Construction:** 1. **Chloe's Path:** - Starts at 2 meters (initial position on y-axis). - Travels 3 meters every 4 seconds, which implies Chloe's speed is 0.75 meters per second. 2. **Jillian's Path:** - Starts at 0 meters. - Travels 1 meter every second, which means Jillian's speed is 1 meter per second. **Graph Plotting Steps:** - Plot Chloe's starting point at (0, 2) and draw a line with a slope representing her speed. - Plot Jillian's starting point at (0, 0) and draw a line with a slope representing her speed. - Extend both lines until they reach or pass 12 meters to identify when the race is completed. By plotting these lines accurately, you can determine the winner, the time when they are tied, and when each finishes the race.
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