Question

Write a function rule for your bacterium in the table where h is the number of hours, and b(h) is the bacterium at h hours.

h 0 1 2 3 4 5 6
b 1 4 16 64 256 1024 4096

Answer 1

b(h) = 4^h

Explanation:

The ratio of counts from one hour to the next is 4/1 = 16/4 = 64/16 ... = 4. The count at h=0 is 1, so that is the multiplier of the exponential term.

b(x) = 1×4^h