contestada

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)

Respuesta :

Given

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

Explanation

The exponential growth model is given as;

[tex]P(x)=a(1+r)^t[/tex]

Therefore, the exponential growth model becomes

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

Answer 1: Exponential model

[tex]P(x)=2300(1.151)^x[/tex]

Answer 2: The population in 6 years

[tex]5348[/tex]