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

Question

Deja Bender

Mathematics

10 September, 21:18

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

+2

Answers (1)

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Colin · Answer 1

b (h) = 4^h

Step-by-step 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

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 6b 1 4 16 64 256 1024 4096

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