The answer is:
The equation is:
[tex]Total(t)=5200*(2)^{t}[/tex]
It's an exponential growth problem, we can calculate the exponential growth using the following equation:
[tex]Total(t)=StartPopulation*(1+r)^{\frac{t}{2}}[/tex]
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:
[tex]Total(t)=5200*(1+\frac{100}{100})^{t}[/tex]
[tex]Total(t)=5200*(1+1)^{t}[/tex]
[tex]Total(t)=5200*(2)^{t}[/tex]
Have a nice day!
