This item has two parts: Part A and Part B. Use the information to complete Part A and Part B.

Two populations of bacteria increased at exponential rates. The table shows the bacteria population size for sample A, A(x), after x weeks.

x 0 1 2 3 4
A(x) 100 300 900 2,700 8,100

The graph shows the bacteria population size for sample B, B(x) = 500(2)x, after x weeks.





Part A
Which bacteria sample had a smaller initial population? What was that value?

Sample A; 100 bacteria

Sample A; 300 bacteria

Sample B; 2 bacteria

Sample B; 500 bacteria

Part B
Compare the population of each sample on the 5th week. Which sample was larger and by how much?

Sample A; 24,300

Sample A; 8,300

Sample B; 40,300

Sample B; 16,000