Answered: Percentage of U.S. College Freshmen…

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterP: Prologue: Calculator Arithmetic

Section: Chapter Questions

Problem 10E: Heart Disease In a certain country, the number of deaths due to heart disease decreased from 235 in...

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The bar graph shows the percentage of U.S.college freshmen with an average grade of A in high school.The data displayed by the bar graph can be described by the mathematical modelwhere x is the number of years after 1980 and p is the percentage of U.S. college freshmen who had an average grade of A in high school.

a. According to the formula, in 2000, what percentage of U.S. college freshmen had an average grade of A in high school? Does this underestimate or overestimate the percent displayed by the bar graph? By how much?
b. If trends shown by the formula continue, project when 65% of U.S. college freshmen will have had an average grade of A in high school.

Percentage of U.S. College Freshmen
with an Average Grade of A
(A- to A+) in High School
60%
53%
48%
50%
43%
40%
29%
30%
27%
20%
10%
1980
1990
2000
2010 2013
Year
Percentage of College Freshmen
with an
A High School Average

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