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(0.2)h after h hours."

What is Frank's error?
A.
Frank should have used (0.20) not (0.2) in the equation.

B.
Frank should have used (1.2) not (0.2) in the equation.

C.
Frank should have used a power of h – 1 instead of h.

D.
Frank should have used a power of h + 1 instead of h.

Answer 1

[AI-generated answer — Bot]

B. Frank should have used (1.2) not (0.2) in the equation.

The correct prediction function should be B(h) = 150(1.2)^h after h hours, since the population is growing by 20% every hour, which means it is increasing by a factor of 1.2 (1 + 0.2) every hour.