Question

Frank suspects a function he created to predict the population of bacteria is flawed. His data indicates the population began with 150 cells and grew by 20 percent every hour. His prediction function is "The population of bacteria is B(h) = 150(.2)h after h hours." What is Frank's error?

Answer 1

Answer:

$B(h) = 150(1.20)^{h}$

Step-by-step explanation:

According to Frank's data, the number of bacteria grows by 20 percent every hour and it starts with 150 cells.

Therefore, the function to predict the population of bacteria is given by

$B(h) = 150(1 + \frac{20}{100} )^{h}$ {Where h is the number of hours passed}

⇒ $B(h) = 150(1.20)^{h}$

Therefore, Frank's function that he created to predict the population of bacteria is flawed. (Answer)