Question

A virus takes 16 days to grow from 100 to 190.How many days will it take to grow from 100to 760? Round to the nearest whole number.

Answer 1

The growth of the virus is considered exponential.

Thus the expression is,

`N=N_oe^(kt)`

Given,

A virus takes 16 days to grow from 100 to 190.

Thus,

`190=100e^(16k)`

Putting ln on both side we have

ln(190/100)=16k

0.64=16k

k=0.04

Similarly,

`760=100e^(0.04t)`

Solving,

ln(760/100)=0.04t

t=50.70

Thus required days is 51 (rounding off to whole number)