A survey of high school and college football players suggests that the number of career-ending injuries in this sport is increasing. In 2010 the number of injuries was 1,350; in 2019 the number was 1,990. If it is assumed that the injuries are increasing at a linear rate: a) Detemine the function n = f(t), where n equals the estimated number of injuries per year and t equals time measured in years since 2010. b) Interpret the meaning of the slope of this function. (a one liner statement would be enough) c) When is it expected that the number of such injuries will go over the 2,500 mark.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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A survey of high school and college football players suggests that the number of career-ending
injuries in this sport is increasing. In 2010 the number of injuries was 1,350; in 2019 the number
was 1,990. If it is assumed that the injuries are increasing at a linear rate:
a) Detemine the function n = f(t), where n equals the estimated number of injuries per year and
t equals time measured in years since 2010.
b) Interpret the meaning of the slope of this function. (a one liner statement would be enough)
c) When is it expected that the number of such injuries will go over the 2,500 mark.
Transcribed Image Text:A survey of high school and college football players suggests that the number of career-ending injuries in this sport is increasing. In 2010 the number of injuries was 1,350; in 2019 the number was 1,990. If it is assumed that the injuries are increasing at a linear rate: a) Detemine the function n = f(t), where n equals the estimated number of injuries per year and t equals time measured in years since 2010. b) Interpret the meaning of the slope of this function. (a one liner statement would be enough) c) When is it expected that the number of such injuries will go over the 2,500 mark.
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