Question

Applications of integrals

Answer 1

1. Logistical growth: "A rumor i spreading through a small town of population 10,000. Initially, 100 of the town's residents had heard the rumor. After 3 days, 700 people had heard the rumor. Using the logistic growth model, what percentage of the town's population will have heard the rumor after 7 days? Round your answer to the nearest 0.1%"

Answer 2

Work shown here:
My answer was 52.3%

Answer 3

looks good. Just the value of "k" kinda came up from nowhere. How did you find that?

Answer 4

oh, k was a proportionality constant for rate of growth

Answer 5

oh ok! I'm no calculus wiz but it looks about right :)