Henry is conducting an experiment with 800 bacteria. He found the exponential growth rate to be 2.7% per hour. What is the amount of bacteria present after 21 hours? Round to the nearest whole number. (Hint: Use the exponential growth formula: y = b (1+r) ^t)

Question

Katelyn Barber

Mathematics

6 February, 08:57

Henry is conducting an experiment with 800 bacteria. He found the exponential growth rate to be 2.7% per hour. What is the amount of bacteria present after 21 hours? Round to the nearest whole number. (Hint: Use the exponential growth formula: y = b (1+r) ^t)

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Azaria Moses · Answer 1

Let's formulate an equation first. For exponential growth, we follow the formula. b = 800, r - 0.027. Hence,

y = 800 (1+0.027) ^t

Then, at t = 21, y will be determined

y = 800 (1+0.027) ^21

y = 1399.81 = 1400

Thus, the amount of bacteria present after 21 hours is 1400.