Consider the following case of exponential growth. Complete parts a through c below.   The population of a town with an initial population of 75,000 grows at a rate of 5.5​% per year. a. Create an exponential function of the form Q=Q0×(1+r)t​, ​(where r>0 for growth and r<0 for​ decay) to model the situation described.

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Consider the following case of exponential growth. Complete parts a through c below.
 
The population of a town with an initial population of
75,000
grows at a rate of
5.5​%
per year.
a. Create an exponential function of the form
Q=Q0×(1+r)t​,
​(where
r>0
for growth and
r<0
for​ decay) to model the situation described.
 
2.
Answer the questions for the problem given below.
The average price of a home in a town was
​$178,000
in 2007 but home prices are rising by
6​%
per year.
a. Find an exponential function of the form
Q=Q0×(1+r)t
​(where
r>​0)
for growth to model the situation described.
 
Q=​$nothing×​(1+nothing​)t
​(Type an integer or a​ decimal.)
 
3.
toxic radioactive substance with a density of
7
milligrams per square centimeter is detected in the ventilating ducts of a nuclear processing building that was used
55
years ago. If the​ half- life of the substance is
20
​years, what was the density of the substance when it was deposited
55
years​ ago?
The density of the radioactive substance when it was deposited
55
years ago
was approximately
nothing
mg/cm2.
​(Round to two decimal places as​ needed.)
4.
Between 2005 and
2008​,
the average rate of inflation was about
2.1​%
per year. If a cart of groceries cost
​$120
in​ 2005, what did it cost in
2008​?
A cart of groceries cost approximately
​$nothing
in
2008.
​(Round to two decimal places as​ needed.)
 
 
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