scientists are modeling the spread of a hypothetical virus. in their computer model, there are currently 392…

scientists are modeling the spread of a hypothetical virus. in their computer model, there are currently 392 people infected, and the virus is spreading at a rate of 11% each day. how many people will be infected in 3 days? if necessary, round your answer to the nearest whole number. people

scientists are modeling the spread of a hypothetical virus. in their computer model, there are currently 392 people infected, and the virus is spreading at a rate of 11% each day. how many people will be infected in 3 days? if necessary, round your answer to the nearest whole number. people

Answer

Explanation:

Step1: Identify the formula

We use the compound - growth formula $A = P(1 + r)^t$, where $P$ is the initial amount, $r$ is the growth rate as a decimal, and $t$ is the number of time - periods.

Step2: Convert the percentage to a decimal

The growth rate $r=11% = 0.11$, the initial number of infected people $P = 392$, and the number of days $t = 3$.

Step3: Substitute the values into the formula

$A=392\times(1 + 0.11)^3$. First, calculate $(1 + 0.11)^3=(1.11)^3=1.11\times1.11\times1.11 = 1.367631$. Then, $A = 392\times1.367631$. $A=392\times1.367631 = 535.111352$.

Step4: Round the result

Rounding $535.111352$ to the nearest whole number gives $535$.

Answer:

535