3. A family of 10 bed bugs invades your house, and its population increases at a rate of 45% every week.

(a) Fill in the blanks:

The population of bed bugs is

(growing/decaying)

(linearly/exponentially).

(b) Compare the doubling times found with the approximate and the exact doubling time formulas.

Include units in your answer!

(c) How many bed bugs will be in your house after 8 weeks? after 6 months? (d) How many weeks does it take to have 5 thousand bed bugs in your house? What about 10 thousand bed bugs?