Time in minutes Track length in miles 0.42 1.5 0.15 0.53 0.42 1.5 0.43 1.4 0.82 • 2.5 0.31 1 0.56 0.26 0.9 0.15 0.5 0.75 2.7 1. Create a scatter plot of the data set. 2. Would a linear or exponential function be a better estimate for the data? Explain. 3. Which function is a better fit for the data: y= 2.3x or y = 3.3x? Use a graph to support your answer. 4. Approximately how long would it take the driver to circle a track that is 1.8 miles long? 5. It takes the driver 0.6 minutes to circle a track. Approximately how long is the track?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 30P: In this problem you are asked to find a function that models in real life situation and then use the...
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Date:
Name:
UNIT 4• DESCRIPTIVE STATISTICS
Lesson 2: Working with Two Categorical and Quantitative Variables
Practice 4.2.2: Solving Problems Given Functions Fitted to Data
Racecar tracks vary in length. A racecar driver records the time it takes him to circle various tracks
once at top speed. The distance of the track and his time to circle each track once are listed in the
following table. Use the data for problems 1–5.
Time in minutes
Track length in miles
0.42
1.5
0.15
0.53
0.42
1.5
0.43
1.4
0.82
• 2.5
0.31
1
0.56
2
0.26
0.9
0.15
0.5
0.75
2.7
1. Create a scatter plot of the data set.
2. Would a linear or exponential function be a better estimate for the data? Explain.
3. Which function is a better fit for the data: y = 2.3x or y = 3.3x? Use a graph to support
your answer.
4. Approximately how long would it take the driver to circle a track that is 1.8 miles long?
5. It takes the driver 0.6 minutes to circle a track. Approximately how long is the track?
continued
SWB p. 65; SRB Practice 4.2.2 p. U4-65
U4-116
CCSS IP Math I Teacher Resource
O Walch Education
4.2.2
Date:
Name:
UNIT 4 • DESCRIPTIVE STATISTICS
Lesson 2: Working with Two Categorical and Quantitative Variables
The value of a car decreases over time. Bethan buys a car for $20,000, Each year, she determines how
munh hor onn in worth She rocorde tha value of her car each vear in the following tahle, Use the data
Transcribed Image Text:Date: Name: UNIT 4• DESCRIPTIVE STATISTICS Lesson 2: Working with Two Categorical and Quantitative Variables Practice 4.2.2: Solving Problems Given Functions Fitted to Data Racecar tracks vary in length. A racecar driver records the time it takes him to circle various tracks once at top speed. The distance of the track and his time to circle each track once are listed in the following table. Use the data for problems 1–5. Time in minutes Track length in miles 0.42 1.5 0.15 0.53 0.42 1.5 0.43 1.4 0.82 • 2.5 0.31 1 0.56 2 0.26 0.9 0.15 0.5 0.75 2.7 1. Create a scatter plot of the data set. 2. Would a linear or exponential function be a better estimate for the data? Explain. 3. Which function is a better fit for the data: y = 2.3x or y = 3.3x? Use a graph to support your answer. 4. Approximately how long would it take the driver to circle a track that is 1.8 miles long? 5. It takes the driver 0.6 minutes to circle a track. Approximately how long is the track? continued SWB p. 65; SRB Practice 4.2.2 p. U4-65 U4-116 CCSS IP Math I Teacher Resource O Walch Education 4.2.2 Date: Name: UNIT 4 • DESCRIPTIVE STATISTICS Lesson 2: Working with Two Categorical and Quantitative Variables The value of a car decreases over time. Bethan buys a car for $20,000, Each year, she determines how munh hor onn in worth She rocorde tha value of her car each vear in the following tahle, Use the data
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