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.

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.