Question

Please help with question 4 about the plant species population

Answer 1

Answer:

5 years             I think....

Step-by-step explanation:

B Specie    A Specie      

5000         2000

10000       4000

                 6000

                 8000

                 10000

Answer 2

Answer:

30.54 yrs

Step-by-step 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;

$2000e^{0.05t}=5000e^{0.02t}\\\\2e^{0.05t}=5e^{0.02t}\\\\\frac{5}{2}=\frac{e^{0.05t} }{e^{0.02t} }\\\\2.5=e^{0.03t}\\\\ln(2.5)=0.03t\\\\t=\frac{ln(2.5)}{0.03}=30.543$