Growth or Exponential function Growth or Growth or Initial value decay rate (as %) Decay? decay factor P(t) 39(1.27) P(t) 5(0.08) $1200 1.10 82 grams 0.75 542 lbs Decay 32% 89 Growth 85% 5. Suppose there were 2,043 Math 141 students 2011. In 2012 there were 1,986 Math 141 students enrolled Write an exponential function that models the number of Math 141 students since 2011. Call a. this function a(t) . Round the base to the nearest thousandth. b. According to a(t), what is the annual decay rate in the number of Math 141 students? According to a (t), if the trend continues, how many Math 141 students will there be in 2016? c. Show your work and round to the nearest whole number. d. According to the graph of a (t), in which year will the number of Math 141 students reach 1500? Explain how you obtained your answer. Math 141 - Algebra with Applications

Growth or Exponential function Growth or Growth or Initial value decay rate (as %) Decay? decay factor P(t) 39(1.27) P(t) 5(0.08) $1200 1.10 82 grams 0.75 542 lbs Decay 32% 89 Growth 85% 5. Suppose there were 2,043 Math 141 students 2011. In 2012 there were 1,986 Math 141 students enrolled Write an exponential function that models the number of Math 141 students since 2011. Call a. this function a(t) . Round the base to the nearest thousandth. b. According to a(t), what is the annual decay rate in the number of Math 141 students? According to a (t), if the trend continues, how many Math 141 students will there be in 2016? c. Show your work and round to the nearest whole number. d. According to the graph of a (t), in which year will the number of Math 141 students reach 1500? Explain how you obtained your answer. Math 141 - Algebra with Applications

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

Growth or
Exponential
function
Growth or
Growth or
Initial value
decay rate
(as %)
Decay?
decay factor
P(t) 39(1.27)
P(t) 5(0.08)
$1200
1.10
82 grams
0.75
542 lbs
Decay
32%
89
Growth
85%
5. Suppose there were 2,043 Math 141 students 2011. In 2012 there were 1,986 Math 141 students
enrolled
Write an exponential function that models the number of Math 141 students since 2011. Call
a.
this function a(t) . Round the base to the nearest thousandth.
b. According to a(t), what is the annual decay rate in the number of Math 141 students?
According to a (t), if the trend continues, how many Math 141 students will there be in 2016?
c.
Show your work and round to the nearest whole number.
d. According to the graph of a (t), in which year will the number of Math 141 students reach
1500? Explain how you obtained your answer.
Math 141 - Algebra with Applications

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