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...
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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) =
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