A population, P(t) (in millions) in year t, increases exponentially. Suppose P(6)=15 and P(14)=24. a) Find a formula for the population in the form P(t)=ab^t. Enter the values you found for a and b in your formula in the blanks below. Round your values to 4 decimal places. b) If P(t)=ae^(kt), what is the value of k in your formula.
A population, P(t) (in millions) in year t, increases exponentially. Suppose P(6)=15 and P(14)=24. a) Find a formula for the population in the form P(t)=ab^t. Enter the values you found for a and b in your formula in the blanks below. Round your values to 4 decimal places. b) If P(t)=ae^(kt), what is the value of k in your formula.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 2ECP
Related questions
Question
A population, P(t) (in millions) in year t, increases exponentially. Suppose P(6)=15 and P(14)=24.
a) Find a formula for the population in the form P(t)=ab^t. Enter the values you found for a and b in your formula in the blanks below. Round your values to 4 decimal places.
b) If P(t)=ae^(kt), what is the value of k in your formula.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning