The flu is starting to hit Fairfax. Currently, there are 647 people infected, and that number is growing at a rate of 13% per day. Overall, how many people will have gotten the flu in 5 days?

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Answer:

To calculate the number of people who will have gotten the flu in 5 days, we can use the formula for exponential growth:

N = P * (1 + r/100)^t

where:

N = final number of people

P = initial number of people

r = growth rate

t = time in days

Given:

Initial number of people (P) = 647

Growth rate (r) = 13%

Time in days (t) = 5

Let's substitute the values into the formula:

N = 647 * (1 + 13/100)^5

Calculating:

N = 647 * (1.13)^5

N ≈ 647 * 1.822

N ≈ 1178.084

Therefore, approximately 1178 people will have gotten the flu in 5 days.

In summary, using the formula for exponential growth, we find that approximately 1178 people will have gotten the flu in 5 days, starting from an initial number of 647 infected individuals.

Step-by-step explanation: