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 xx (1+r)t​, ​(where r>0 for growth and r<0 for​ decay) to model the situation described

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 xx (1+r)t​, ​(where r>0 for growth and r<0 for​ decay) to model the situation described

Question
Exponential growth and decay
asked 2021-02-24
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
\(Q=Q0 xx (1+r)t\)​, ​(where r>0 for growth and r<0 for​ decay) to model the situation described

Answers (1)

2021-02-25
The population of a town with an initial population of 75,000 grows at a rate of 5.5​% per year. That is,
\(Q_0=75,000\) & r=5.5%=0.055
Therefore exponential function is,
\(Q=Q_0(1+r)^t\)
\(=>Q=75,000(1+0.055)^t\)
\(=>Q=75,000(1.055)^t\)
0

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