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Sagot :
ANSWER
P(x) = 2700(1.052)^t
P(4) = 3307. (Rounded to nearest student)
EXPLANATION
Given:
1. The current student population to be 2700
2. The growth rate = 5.2% = 0.052
Desired Outcome
1. The exponential growth model
2. Population of the students in 4 years
The Exponential Growth Model
[tex]\begin{gathered} P(x)\text{ = 2700\lparen1 + 0.052\rparen}^t \\ P(x)\text{ = 2700\lparen1.052\rparen}^t \end{gathered}[/tex]Population in 4 years
[tex]\begin{gathered} P(4)\text{ = 2700\lparen1.052\rparen}^4 \\ P(4)\text{ = 2700}\times1.2248 \\ P(4)\text{ = 3306.96} \end{gathered}[/tex]Hence, the Exponential Growth Model P(x) = 2700(1.052)^t and the Population of the students in 4 years P(4) = 3307. (Rounded to nearest student)
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