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The current student population of Philadelphia is 2300. If the population increases at a rate of 15.1% each year. What will the student population be in 6 years?Write an exponential growth model for the future population P(x) where x is in years:P(x)=What will the population be in 6 years? (Round to nearest student)

User Iceydee
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1 Answer

10 votes
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Given


\begin{gathered} initial\text{ population\lparen a\rparen=2300} \\ r=15.1\text{\%} \\ t=6\text{ years} \end{gathered}

Step-by-step explanation

The exponential growth model is given as;


P(x)=a(1+r)^t

Therefore, the exponential growth model becomes


\begin{gathered} p(x)=2300(1+(15.1)/(100))^6 \\ =2300(1+0.151)^6 \\ =2300(1.151)^6 \\ =5347.85690 \end{gathered}

Answer 1: Exponential model


P(x)=2300(1.151)^x

Answer 2: The population in 6 years


5348

User Marc Vitalis
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