Question

Which of the following statements are true?

Answer 1

Answer:

option A and B are correct.

Step-by-step explanation:

Given: $p(t) = \frac{64}{1 + 11e^{-.08t} }$

Option A: $\lim_{t \to \infty} \frac{64}{1 + 11e^{-.08(\infty)} } = \frac{64}{1 + 0} = 64$

Option A is true,

Option B: $P(0) = \frac{64}{1 + 11} = 5.33$

Option B is also true.

Option C:

$P(t + 1) = \frac{64}{1 + 11e^{-.08(t + 1)} } = \frac{64}{1 + 10.15e^{-.08t} } \\1.08 · P(t) = \frac{64 · 1.08 }{1 + 11e^{-.08t} } = \frac{69.12}{1 + 11e^{-.08t} }$

P(t + 1) ≠ 1.08 · P(t)

Option C is incorrect.

Option D:  It is also incorrect, because according to option 2 earth's population will not grow exponentially without Bound.