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2. the local rodent population numbers approximately 600 and is increas…

Question

  1. the local rodent population numbers approximately 600 and is increasing at a rate of 8% per year.

2a write a function, $y$, that represents the population after $t$ years.
$y=600(1.08)^t$
2b find the size of the population after 5 years, rounding to the nearest whole number.
population = enter your next step here

Explanation:

Step1: Substitute t=5 into function

$y = 600(1.08)^5$

Step2: Calculate $(1.08)^5$

$(1.08)^5 \approx 1.4693280768$

Step3: Multiply by initial population

$y \approx 600 \times 1.4693280768$

Step4: Round to nearest whole number

$y \approx 881.59684608 \approx 882$

Answer:

882