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Agata [3.3K]
3 years ago
11

At 1 p.M., the number of bacteria in a petri dish is 54. It is estimated that the population of bacteria will increase by 6% eac

h hour. Write a formula for the population of bacteria.
Mathematics
1 answer:
Zinaida [17]3 years ago
6 0

Answer: y = 54(1.06)^t

Step-by-step explanation:

It is estimated that the population of bacteria will increase by 6% each hour. This is an exponential growth. The formula for determining exponential growth is expressed as

y = b(1 + r)^ t

Where

y represents the population after t years.

t represents the number of years.

b represents the initial population.

r represents rate of growth.

From the information given,

b = 54

r = 6% = 6/100 = 0.06

Therefore, the formula for the population of bacteria is

y = 54(1 + 0.06)^t

y = 54(1.06)^t

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