the flu is starting to hit fairfax. currently, there are 647 people infected, and that number is growing at…

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? if necessary, round your answer to the nearest whole number. people

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? if necessary, round your answer to the nearest whole number. people

Answer

Explanation:

Step1: Identify the formula

The formula for exponential growth is $A = P(1 + r)^t$, where $P$ is the initial amount, $r$ is the growth rate as a decimal, and $t$ is the time. Here, $P = 647$, $r=0.13$, and $t = 5$.

Step2: Substitute the values

$A=647\times(1 + 0.13)^5$. First, calculate $(1 + 0.13)^5=(1.13)^5$. $(1.13)^5=1.13\times1.13\times1.13\times1.13\times1.13\approx1.842435$. Then, $A = 647\times1.842435$.

Step3: Calculate the final result

$A=647\times1.842435\approx1192$.

Answer:

1192