Question

Susan monitors the number of strep infections reported in a certain neighborhood in a given week.The recent numbers are shown in this table:WeekNumber of People020126234344According to her reports, the reported infections are growing at a rate of 30%.If the number of infections continues to grow exponentially, what will the number of infections bein week 10?

Answer 1

The formula for growth rate is given below;

`y=a(1+r)^x`

Where;

y = number of infections,

a = initial number of infections (20),

r = rate (30% or 0.3) and

x = the week to find (10)

`\begin{gathered} y=a(1+r)^x \\ y=20(1+0.3)^(10) \\ y\text{ = 20 (13.7858)} \\ y\text{ = 275.72} \end{gathered}`

The number of infections in week 10 will be 276.