6) A biologist monitoring an infestation of grubs has an initial population of 400 grubs per hectare and, two years later, a population of 950 grubs per hectare. Use the growth equation: A = Agekt a) Calculate the growth constant, k. b) Determine the doubling time for the population. c) Rewrite the function as an exponential function having a base 2.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
6) A biologist monitoring an infestation of grubs has an initial population of 400 grubs per hectare
and, two years later, a population of 950 grubs per hectare. Use the growth equation: A =
Agekt
a) Calculate the growth constant, k.
b) Determine the doubling time for the population.
c) Rewrite the function as an exponential function having a base 2.
Transcribed Image Text:6) A biologist monitoring an infestation of grubs has an initial population of 400 grubs per hectare and, two years later, a population of 950 grubs per hectare. Use the growth equation: A = Agekt a) Calculate the growth constant, k. b) Determine the doubling time for the population. c) Rewrite the function as an exponential function having a base 2.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning