Question

Frank suspects a function he created to predict thepopulation of bacteria is flawed. His data indicates thepopulation began with 150 cells and grew by 20 percentevery hour. His prediction function is "The population ofbacteria is B(h) = 150(0.2)" after h hours." What is Frank'serror?A) Frank should have used (0.20) not (0.2) in the equation.B) Frank should have used a power of h + 1 instead of h.C) Frank should have used (1.2) not (0.2) in the equation.D) Frank should have used a power of h - 1 instead of h.

Answer 1

The initial population of the bacteriia is 150.

The growth is 20% per hour.

The bacteria after h can be determined as,

`\begin{gathered} B(h)=150(1+(20)/(100))^h \\ =150(1.2)^h \end{gathered}`

Thus, option (C) is correct.