In the year 2000, the population of Toledo, Ohio was approximately 530,000. Assume the population is increasing at a rate of 4.6 % per year. a. Write the exponential function that relates the total population, P(t), as a function of t, the number of years since 2000. P(t) 530,000 (1.046) b. Use part a. to determine the rate at which the population is increasing in t years. Use exact expressions. P'(t)= 530,000 In (1.046) (1.046)✓ people per year c. Use part b. to determine the rate at which the population is increasing in the year 2019. Round to the nearest person per year. P'(19) = = OB people per year
In the year 2000, the population of Toledo, Ohio was approximately 530,000. Assume the population is increasing at a rate of 4.6 % per year. a. Write the exponential function that relates the total population, P(t), as a function of t, the number of years since 2000. P(t) 530,000 (1.046) b. Use part a. to determine the rate at which the population is increasing in t years. Use exact expressions. P'(t)= 530,000 In (1.046) (1.046)✓ people per year c. Use part b. to determine the rate at which the population is increasing in the year 2019. Round to the nearest person per year. P'(19) = = OB people per year
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter6: Exponential Functions And Sequences
Section: Chapter Questions
Problem 8CA
Related questions
Question
![In the year 2000, the population of Toledo, Ohio was approximately 530,000. Assume the population
is increasing at a rate of 4.6 % per year.
a. Write the exponential function that relates the total population, P(t), as a function of t, the
number of years since 2000.
P(t)
530,000 (1.046)
b. Use part a. to determine the rate at which the population is increasing in t years. Use exact
expressions.
=
0°
P'(t)= 530,000 In (1.046) (1.046) people per year
c. Use part b. to determine the rate at which the population is increasing in the year 2019. Round to
the nearest person per year.
P'(19) =
people per year](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F45658af6-e14b-4a46-aa89-70eedeb67043%2F3659c490-9073-4f00-af4a-6fc2a72239f8%2Fifipluk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In the year 2000, the population of Toledo, Ohio was approximately 530,000. Assume the population
is increasing at a rate of 4.6 % per year.
a. Write the exponential function that relates the total population, P(t), as a function of t, the
number of years since 2000.
P(t)
530,000 (1.046)
b. Use part a. to determine the rate at which the population is increasing in t years. Use exact
expressions.
=
0°
P'(t)= 530,000 In (1.046) (1.046) people per year
c. Use part b. to determine the rate at which the population is increasing in the year 2019. Round to
the nearest person per year.
P'(19) =
people per year
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