Question

Shanisha deposited money into a CD (Certificate of Deposit) 20 years ago and has not deposited or withdrawn any money since then. The following table shows the amount of money in Shanisha’s CD over time. 4) E. coli is an interesting bacteria. It can reproduce asexually, which means that a bacterium does not need a partner to reproduce. Under ideal conditions, a small population of e. coli can double every 20 minutes. Assuming that the ideal conditions are met, about how long would it take for a single e. coli bacterium to create a colony with more than 10,000 bacteria? Hint: � = 1(2) ( )* a. 100 min b. 180 min c. 270 min d. 800 min Years since investment 0 10 18 20 Investment $600 925.33 1308.61 1427.05

Find the equation that describes Shanisha’s investment, y, in terms of the elapsed years, t.

a. y = 600 ⋅ 2 1/30

b. y = 600 ⋅ 0.513 1

c. y = 600 ⋅ 2 1/16

d. y = 600 ⋅ e 16t

Answer 1

Problem 1

The given values follow the third equation, i.e.

Years since investment	Investment
0	$600
10	$925.33
18	$1308.61
20	$1427.05

Problem 2

The behavior, i.e. rate of population growth of e.Coli can be modeled by the exponential function

so that after 20 minutes, the value shall double. Hence, with N(0) = 1 and N(t) = 10,000