Answer no. 2 & 3 and please indicate what is finding in every letter(a) (b) with a nice & clear solutions. C. Solve these real-life problems using exponential functions.1. A population starts with 1,000 individuals and triples every 80 years. (a) Give an exponential modelfor this situation. (b) What is the size of the population after 100 years?2. Suppose that the half-life of a substance is 250 years. If there were initially 100 grams of thesubstance, (a) give an exponential model for this situation. (b) How much will remain after 500 years?3. P10,000 is invested at 2% compounded annually. (a) Give an exponential model for this situation. (b)What is the amount after 12 years? Exponential FunctionAn exponential function with base b is a function of the form f(x) = b* or y = b*,where b > 0, b + 1.%3DMany applications involve transformations of exponential functions. Some of the most common applications inreal life of exponential functions and their transformations are population growth, exponental decay, andcompound interest.Example. Let t = time in days. At t = 0, there were initially 20 bacteria. Suppose that the bacteria doublesevery 100 hours. Give an exponential model for the bacteria as a function of t.Given: T100 hours, yo = 20 bacteria%3DSolution:Exponential Models and Population GrowthSuppose a quantity y doubles every T units of time. If yo is the initial amount, thenthe quantity y after t units off time is given by y = yo(2)/".Anexponentialmodel for thissituationisy =20(2)/100

Answered: Image /qna-images/answer/09f4b331-1e74-404e-8c85-529a03464bdb.jpg

2. Suppose that the half-life of a substance is 250 years. If there were initially 100 grams of the substance, (a) give an exponential model for this situation. (b) How much will remain after 500 years?

2. Suppose that the half-life of a substance is 250 years. If there were initially 100 grams of the substance, (a) give an exponential model for this situation. (b) How much will remain after 500 years?

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter4: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 12CC: Suppose that the initial size of a population is n0 and the population grows exponentially. Let n(t)...

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Question

Answer no. 2 & 3 and please indicate what is finding in every letter(a) (b) with a nice & clear solutions.

C. Solve these real-life problems using exponential functions.
1. A population starts with 1,000 individuals and triples every 80 years. (a) Give an exponential model
for this situation. (b) What is the size of the population after 100 years?
2. Suppose that the half-life of a substance is 250 years. If there were initially 100 grams of the
substance, (a) give an exponential model for this situation. (b) How much will remain after 500 years?
3. P10,000 is invested at 2% compounded annually. (a) Give an exponential model for this situation. (b)
What is the amount after 12 years?

Exponential Function
An exponential function with base b is a function of the form f(x) = b* or y = b*,
where b > 0, b + 1.
%3D
Many applications involve transformations of exponential functions. Some of the most common applications in
real life of exponential functions and their transformations are population growth, exponental decay, and
compound interest.
Example. Let t = time in days. At t = 0, there were initially 20 bacteria. Suppose that the bacteria doubles
every 100 hours. Give an exponential model for the bacteria as a function of t.
Given: T
100 hours, yo = 20 bacteria
%3D
Solution:
Exponential Models and Population Growth
Suppose a quantity y doubles every T units of time. If yo is the initial amount, then
the quantity y after t units off time is given by y = yo(2)/".
An
exponential
model for this
situation
is
y =
20(2)/100

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