Answer:
She will find 1054 viruses.
Step-by-step explanation:
The number of viruses after t hours is given by the following equation:
[tex]N(t) = N(0)(1+r)^{t}[/tex]
In which N(0) is the initial number of viruses and r is the growth rate, as a decimal.
100 viruses that grow at a rate of 17% per hour.
This means that [tex]N(0) = 100, r = 0.17[/tex]
So
[tex]N(t) = N(0)(1+r)^{t}[/tex]
[tex]N(t) = 100(1+0.17)^{t}[/tex]
[tex]N(t) = 100(1.17)^{t}[/tex]
She will check on the viruses in 15 hours. How many viruses will she find?
This is N(15).
[tex]N(15) = 100(1.17)^{15} = 1053.87[/tex]
Rounding to the nearest whole number:
She will find 1054 viruses.
