According to the US Department of Education, enrollment in teacher preparations programs in Arizona has plunged 42% to 418,573 in 2014 from 6 years earlier. A) Define an exponential function that determines the enrollment in teacher prep programs as a function of time. Define all variables.  B) By what percent is enrollment changing every two years?  C) If this trend continues, in what year would we expect enrollment to reach only 100,000? Solve algebraically

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 44E: Use a graphing calculator to solve each problem. In Example 4, suppose that a birth control program...
icon
Related questions
Question

12) According to the US Department of Education, enrollment in teacher preparations programs in Arizona has plunged 42% to 418,573 in 2014 from 6 years earlier.

A) Define an exponential function that determines the enrollment in teacher prep programs as a function of time. Define all variables. 

B) By what percent is enrollment changing every two years? 

C) If this trend continues, in what year would we expect enrollment to reach only 100,000? Solve algebraically.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning