Question

The population of algae in an experiment has been increasing by 30% each day. If there were 100 algae at the beginning of the experiment, predict the number of algae in 5 days.Pls help

Answer 1

The algae has an increase rate of 30% per day, this is an exponential increase, to calculate ot you have to use the following formula:

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

Where

a is the initial value

r is the growth rate

x is the time passed

y is the total growth after x time has passed

For this exercise, the initial number is 100 algae, the rate of growth is 0.3 and the time is 5 days, replace it in the formula:

`\begin{gathered} y=100(1+0.3)^5 \\ y=371.293 \end{gathered}`

After 5 days you'll expect that the number of algae will gro by 371.293