The bacterium E. coli often causes illness among people who eat infected food. Suppose that five E. coli bacteria in a batch of ground beef begins doubling every 10 minutes. Show all work...

Question

The bacterium E. coli often causes illness among people who eat infected food. Suppose that five E. coli

bacteria in a batch of ground beef begins doubling every 10 minutes. Show all work leading to your

answers.

a. Complete the table below that represents the number of bacteria after x minutes. (Assume no

bacteria die.)

Number of minutes 0/10/20/__/ __/ __/ __/

Number of time periods, x 0 / 1/__ /__ /__ /__ /__/

Number of bacteria, y _/_/ __ /__ /__ /__/__/

b. Explain how to write an equation that will allow us to find the number of bacteria after any number of minutes.

c. Write the equation below:

____________________________

d. How many bacteria will there be after two hours? Show your work.

Answer 1

the exponent variable will be (t/10) so when t=10 minutes, one time period is registered.

I Know

2A=Ar¹ A is the number at t=0 and we are told the number doubles after one time period.

r=2.

equation for population after t minutes is p(t)=A*2^(t/10)

after 2 hours(120 minutes) p=A*2¹² (p=4096*A) where A is number at t=0