Question

a population of rabbits will increase at a rate of 22% per month.

if this rate of growth remains the same and the population starts out with 14 rabbits, approximately how many rabbits will there be after 12 months?

a.) 152 rabbits
b.) 48 rabbits
c.) 612 rabbits
d.) 294 rabbits

Explanation:

Identify the given parameters

Using the Exponential Modeling Applications knowledge point

$$
LATEXBLOCK0
$$

Set up the exponential growth model

Using the Exponential Modeling Applications knowledge point

$$ P(t) = P_0 (1 + r)^t $$

Calculate the population after 12 months

Using the Exponential Modeling Applications knowledge point

$$
LATEXBLOCK1
$$

Select the closest matching option

Using the Exponential Modeling Applications knowledge point

$$ P(12) \approx 152 $$

Answer:

• a.) 152 rabbits (Correct answer)
• b.) 48 rabbits
• c.) 612 rabbits
• d.) 294 rabbits