Dr. Rodriguez does an experiment with bacteria. She starts with 100 bacteria and records the number of bacteria every hour after the experiment starts. Assume that the bacteria
growth continues in the pattern shown.
Bacteria Data
S
900
800
700
600
500
400
300
200
100
0
0
2
3
number of hours (x)
A. How many bacteria will there be 5 hr after the experiment starts? Show your
work algebraically, and explain how you found your answer.
B. Write an exponential equation of the form ya. b to represent this situation
Explain why you chose the values of a and b that you did.
C. Using your equation from Part B. find how many bacteria there will be 8 hr after
the experiment starts. Show your work algebraically, and explain how you found
your answer
number of bacteria ()