Option B
The amount of mice when t = 0 is 300
Given that population of mice grows according to the formula:
[tex]A(t) = 300e^{0.087t}[/tex]
where t is measured in months
To find: amount of mice when t = 0
So we have to substitute t = 0 in given formula and find value of A(t)
[tex]A(t) = 300e^{0.087t}[/tex]
Substitute t = 0
[tex]A(t) = 300e^{0.087 \times 0}\\\\A(t) = 300e^{0}[/tex]
[tex]\text{ We know that } e^0 = 1[/tex]
So we get,
[tex]A(t) = 300 \times 1 = 300[/tex]
Thus the amount of mice when t = 0 is 300
