Question

A bacteria culture is doubling in size of every day. If the bacteria culture starts at 5,200, write an equation for its population size,p, as a function of the number of days ,d, since it started

Answer 1

Hello!

The answer is:

The equation is:

`Total(t)=5200*(2)^(t)`

Why?

It's an exponential growth problem, we can calculate the exponential growth using the following equation:

`Total(t)=StartPopulation*(1+r)^{(t)/(2)}`

Where,

Total, is the total population after "t" time in days.

Start population, for this is equal to 5,200

r,is equal to the percent of growth, for this case it's 100% each day.

t, is the time elapsed.

So, rewriting the equation, we have:

`Total(t)=5200*(1+(100)/(100))^(t)`

`Total(t)=5200*(1+1)^(t)`

`Total(t)=5200*(2)^(t)`

Have a nice day!