Question

1. the local rodent population numbers approximately 480 and is increasing at a rate of 8% per year.

2a write a function, $y$, that represents the population after $t$ years.
$480(1.08)^t$
$y=480(1.08)^t$
3 great effort!
2b find the size of the population after 7 years, rounding to the nearest whole number.
population = $square$

Explanation:

Step1: Substitute t=7 into the function

$y=480(1.08)^7$

Step2: Calculate $(1.08)^7$

$1.08^7 \approx 1.7138242688$

Step3: Multiply by initial population

$y \approx 480 \times 1.7138242688$

Step4: Round to nearest whole number

$y \approx 822.635649024$

Answer:

823