Question

23. A population of mice grows according to the formula A(t) = 300e0.087t where

Answer 1

Option B

The amount of mice when t = 0 is 300

Solution:

Given that  population of mice grows according to the formula:

$A(t) = 300e^{0.087t}$

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)

$A(t) = 300e^{0.087t}$

Substitute t = 0

$A(t) = 300e^{0.087 \times 0}\\\\A(t) = 300e^{0}$

$\text{ We know that } e^0 = 1$

So we get,

$A(t) = 300 \times 1 = 300$

Thus the amount of mice when t = 0 is 300