Question

A biologist just discovered a new strain of bacteria that helps defend the human body against the flu virus. He puts 75 cells in a petri dish, they grow at rate of 20% per hour. How many hours will it take to create an effective dosage of 1,750 cells? A. About 28 hours B. About 14 hours C. About 20 hours D. About 17 hours

Answer 1

hello

the inital sample number (No) = 75

they grow at 20% per hour

that is, in 1 hour, there's a 20% increase in the number of cells

let's calculate the 20% increase

`N=N_0e^(-kt)`
`\begin{gathered} k=0.2 \\ N=1750 \\ N_0=75 \\ t=\text{?} \end{gathered}`