Question

A strand of bacteria was placed in a petri dish. The number of bacteria in double every hour. Write a function to represent how many bacteria strands are present at the nth hour and use it to find the number of bacteria after 6 hours

Answer 1

The function is f(x) = 2x ; there are 64 bacteria after 6 hours.

How to write the function

The quantity of bacteria increases hourly. The equation expressing the number of bacteria as a function of time 'n' in hours is provided as follows:

f(x) =
`2^n`

Given that n = 6 hours, we would have to put the value of n into the equation such that we would have

f(x) = 2⁶

= 64

Hence the function is : f(x) = 2x ; there are 64 bacteria after 6 hours.