Question

Please help with question 4 about the plant species population

Answer 1

5 years I think....

Explanation:

B Specie A Specie

5000 2000

10000 4000

6000

8000

10000

Answer 2

30.54 yrs

Explanation:

We have been given the following exponential growth functions;

Species A;

`p=2000e^(0.05t)`

Species B;

`p=5000e^(0.02t)`

where t = 0 in 2010.

We are required to determine the number of years it will take for the populations of both species to be equal.

To do this we simply equate the two exponential functions and solve for t;

`2000e^(0.05t)=5000e^(0.02t)\\\\2e^(0.05t)=5e^(0.02t)\\\\(5)/(2)=(e^(0.05t) )/(e^(0.02t) )\\\\2.5=e^(0.03t)\\\\ln(2.5)=0.03t\\\\t=(ln(2.5))/(0.03)=30.543`