Question

question 1-9
the function ( f(x) = 12600(1 + 0.05)^x ) models the fish population in a lake. what will the population be in 4 years?
(\bigcirc) about 12,600
(\bigcirc) about 14,420
(\bigcirc) about 14,560
(\bigcirc) about 56,404

Explanation:

Step1: Substitute x=4 into the function

$
f(4) = 12000(1 + 0.05)^4
$

Step2: Calculate the base value

$
1 + 0.05 = 1.05
$

Step3: Compute the power term

$
1.05^4 = 1.05 \times 1.05 \times 1.05 \times 1.05 = 1.21550625
$

Step4: Multiply by initial population

$
f(4) = 12000 \times 1.21550625
$

Answer:

about 14,586