Question

1. the local rodent population numbers approximately 290 and is increasing at a rate of 4% per year.

15a write a function, y, that represents the population after t years.
y = 290(1.04)^t
3 great effort!
15b find the size of the population after 5 years, rounding to the nearest whole number.
population = enter your next step here

Explanation:

Step1: Identify the function and substitute t

We know the population function is \( y = 290(1.04)^t \). For \( t = 5 \) years, we substitute \( t = 5 \) into the function: \( y = 290(1.04)^5 \)

Step2: Calculate \( (1.04)^5 \)

First, calculate \( 1.04^5 \). \( 1.04^5=1.04\times1.04\times1.04\times1.04\times1.04\approx1.2166529024 \)

Step3: Multiply by 290

Now multiply this result by 290: \( 290\times1.2166529024 = 290\times1.2166529024\approx352.829341696 \)

Step4: Round to nearest whole number

Rounding \( 352.829341696 \) to the nearest whole number gives 353.

Answer:

353