Question

Part A: Colby's experiment follows the model:Part B: Jaquan's experiment follows the model:

Answer 1

C

D

The population of bacteria after x days that are growing with a constant factor goes by:

`P(x)=ab^(nx)`

Where:

a = initial population

b = growth factor

n = number of periods in a day

a.) Colby's experiment:

a = 50

b = 2

Since they are doubling every 2 hours:

n = 24/2 = 12

Therefore, Colby's experiment follows:

`y=50\cdot2^(12x)`

b.) Jaquan's experinment:

a = 80

b = 2

Since they double every 3 hours:

n = 24/3 = 8

Therefore, Jaquan's experiment follows the model:

`y=80\cdot2^(8x)`