A chemical was introduced into a large swimming pool to determine if it would affect the amount of algae in the pool. In each case below, write a formula for K(t), the kilograms of algae in the pool t days after the chemical was introduced. Assume there was 70 kilograms of algae in the pool at t = 0 . Notice that the independent variable is t, not x. (a) the kilograms of algae decreased at a continuous rate of 3% each day. K(t) = (b) the algae decreased by 27 kilograms every 3 days. K(t) =

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
100%
A chemical was introduced into a large swimming pool to determine if it would affect the amount of algae in the pool.
In each case below, write a formula for K(t), the kilograms of algae in the pool t days after the chemical was introduced.
Assume there was 70 kilograms of algae in the pool at t = 0.
Notice that the independent variable is t, not x.
(a) the kilograms of algae decreased at a continuous rate of 3% each day.
K(t)
=
(b) the algae decreased by 27 kilograms every 3 days.
K(t) =
(c) the kilograms of algae increased by a factor of 1.8 each day.
K(t) =
(d) the kilograms of algae remained constant each day.
K(t)
=
Transcribed Image Text:A chemical was introduced into a large swimming pool to determine if it would affect the amount of algae in the pool. In each case below, write a formula for K(t), the kilograms of algae in the pool t days after the chemical was introduced. Assume there was 70 kilograms of algae in the pool at t = 0. Notice that the independent variable is t, not x. (a) the kilograms of algae decreased at a continuous rate of 3% each day. K(t) = (b) the algae decreased by 27 kilograms every 3 days. K(t) = (c) the kilograms of algae increased by a factor of 1.8 each day. K(t) = (d) the kilograms of algae remained constant each day. K(t) =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 8 images

Blurred answer
Similar questions
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