The half life of substance A is 18 years, and substance B decays at a rate of 30 % each decade. (a) Find a formula for a function f(t) that gives the amount of substance A, in milligrams, left after t years, given that the initial quantity was 100 milligrams. f(t) = (a) Find a formula for a function g(t) that gives the amount of substance B, in milligrams, left after t years, given that the initial quantity was 100 milligrams. g(t) = (c) Of which substance is there less in the long term? OA. There is less of substance B in the long term. OB. There is less of substance A in the long term. OC. There is no way to tell.

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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The half life of substance A is 18 years, and substance B decays at a rate of 30 % each decade.
(a) Find a formula for a function f(t) that gives the amount of substance A, in milligrams, left after t years, given that the initial quantity was 100 milligrams.
f(t)
(a) Find a formula for a function g(t) that gives the amount of substance B, in milligrams, left after t years, given that the initial quantity was 100 milligrams.
g(t)
(c) Of which substance is there less in the long term?
O A. There is less of substance B in the long term.
O B. There is less of substance A in the long term.
OC. There is no way to tell.
Transcribed Image Text:The half life of substance A is 18 years, and substance B decays at a rate of 30 % each decade. (a) Find a formula for a function f(t) that gives the amount of substance A, in milligrams, left after t years, given that the initial quantity was 100 milligrams. f(t) (a) Find a formula for a function g(t) that gives the amount of substance B, in milligrams, left after t years, given that the initial quantity was 100 milligrams. g(t) (c) Of which substance is there less in the long term? O A. There is less of substance B in the long term. O B. There is less of substance A in the long term. OC. There is no way to tell.
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