Age of U.S. Drivers and Fatal Crashes 17.7 18r 16.3 15 12 9.5 8.0 6.2 6. 4.1 3.8 2.8 2.4. 3.0 16 18 20 25 35 45 55 65 75 79 Age of Drivers Source: Insurance Institute for Highway Safety Fatal Crashes per 100 Million Miles Driven

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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A driver’s age has something to do with his or her chance of getting into a fatal car crash. The bar graph shows the number of fatal vehicle crashes per 100 million miles driven for drivers of various age groups. For example, 25-year-old drivers are involved in 4.1 fatal crashes per 100 million miles driven. Thus, when a group of 25-year-old Americans have driven a total of 100 million miles, approximately 4 have been in accidents in which someone died.

The number of fatal vehicle crashes per 100 million miles, y, for drivers of age x can be modeled by the formula : y = 0.013x2 - 1.19x + 28.24.

Use the formula above and the bar graph at the bottom of the previous page to solve, What age groups are expected to be involved in 10 fatal crashes per 100 million miles driven? How well does the formula model the trend in the actual data shown by the bar graph?

Age of U.S. Drivers and Fatal Crashes
17.7
18r
16.3
15
12
9.5
8.0
6.2
6.
4.1
3.8
2.8
2.4.
3.0
16
18
20 25 35
45
55
65
75 79
Age of Drivers
Source: Insurance Institute for Highway Safety
Fatal Crashes per 100 Million
Miles Driven
Transcribed Image Text:Age of U.S. Drivers and Fatal Crashes 17.7 18r 16.3 15 12 9.5 8.0 6.2 6. 4.1 3.8 2.8 2.4. 3.0 16 18 20 25 35 45 55 65 75 79 Age of Drivers Source: Insurance Institute for Highway Safety Fatal Crashes per 100 Million Miles Driven
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