Question

the doubling time of a population of flies is 8 hours. by what factor does the population increase in 33 hours? by what factor does the population increase in 2 weeks?

by what factor does the population increase in 33 hours?

(type exponential notation with positive exponents. use integers or decimals for any numbers in the expression.)

Explanation:

Set up the exponential growth model

$$ P(t) = P_0 \cdot 2^{t/d} $$

$$ d = 8\text{ hours} $$

Calculate the growth factor for 33 hours

$$ \text{Growth Factor} = \frac{P(33)}{P_0} = 2^{33/8} $$

Express in exponential notation with positive exponents

$$ 2^{4.125} $$

Answer:

By what factor does the population increase in 33 hours?
<blank>\(2^{4.125}\)</blank>
(Type exponential notation with positive exponents. Use integers or decimals for any numbers in the expression.)