Question

Which equation correctly models the relationship between hours passed, h, and the number of bacteria present, b, as shown in the table?

Amount of Bacteria

Hours # of

Passed Bacteria

0 1

1 2

2 4

3 8

4 16


A. b=2 to the h power

B. b=2 to the h power plus 1

C. b=2h

D. b=2h+1
sorry, it shows it a bit messed up. the number of hours is shown on the left side with the numbers directly below it. the number of bacteria is the second column.

Answer 1

I got A. B=2 to the h power

Answer 2

A. b = 2 to the h power

Explanation:

For the table:

When:

h = 0, b = 1, so 1 = 2^0, 1 = 1

h = 1, b = 2, so 2 = 2^1, 2 = 2

h = 2, b = 4, so 4 = 2^2, 4 = 4

h = 3, b = 8, so 8 = 2^3, 8 = 8

h = 4, b = 16, so 16 = 2^4, 16 = 16