he time it takes an average athlete to swim 100 meters freestyle at age x years can be modeled as t(x) = 0.181x² - 8.463x + 147.376 seconds.† (a) Numerically estimate to the nearest tenth the rate of change of the time for a 13-year-old swimmer to swim 100 meter seconds per year (of age) (b) Determine the percentage rate of change of swim time for a 13-year-old. (Round your answer to one decimal place.) % per year (of age)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 16TI: Recent data suggests that, as of 2013, the rate of growth predicted by Moore’s Law no longer holds....
icon
Related questions
Question
The time it takes an average athlete to swim 100 meters freestyle at age x years can be modeled as
t(x) = 0.181x² - 8.463x + 147.376 seconds.†
(a) Numerically estimate to the nearest tenth the rate of change of the time for a 13-year-old swimmer to swim 100 meters freestyle.
seconds per year (of age)
(b) Determine the percentage rate of change of swim time for a 13-year-old. (Round your answer to one decimal place.)
% per year (of age)
(c) Is a 13-year-old swimmer's time improving or getting worse as the swimmer gets older?
The ---Select---✓rate of change shows that swim time is ---Select--- . The swimmer's time is ---Select---
Transcribed Image Text:The time it takes an average athlete to swim 100 meters freestyle at age x years can be modeled as t(x) = 0.181x² - 8.463x + 147.376 seconds.† (a) Numerically estimate to the nearest tenth the rate of change of the time for a 13-year-old swimmer to swim 100 meters freestyle. seconds per year (of age) (b) Determine the percentage rate of change of swim time for a 13-year-old. (Round your answer to one decimal place.) % per year (of age) (c) Is a 13-year-old swimmer's time improving or getting worse as the swimmer gets older? The ---Select---✓rate of change shows that swim time is ---Select--- . The swimmer's time is ---Select---
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 22 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning