Question

question 1 (multiple choice worth 2 points) (rs.de4.wc) a town’s population is currently 100,000 people. the mayor discovered that the population is declining at a rate of 4% annually. if this rate continues, what will the population of the town be in 5 years? round your answer to the nearest whole number. 96,000 people 81,537 people 121,665 people 83,873 people

Explanation:

Step1: Define decay formula

Use exponential decay: $P(t) = P_0(1-r)^t$
Where $P_0=100000$, $r=0.04$, $t=5$

Step2: Substitute values

$P(5) = 100000(1-0.04)^5$

Step3: Calculate decay factor

$(0.96)^5 = 0.8153726976$

Step4: Compute final population

$P(5) = 100000 \times 0.8153726976$

Answer:

81,537 people