Question

The relative growth rate for a certain type of bacteria population is 85% per hour. A small culture has formed and in just 2 hours the count shows to be 12,500 bacteria in the culture. What is the initial number of bacteria in the culture?

Answer 1

Answer:

1,875 bacteria is the initial number of bacteria

Answer 2

The initial number of bacteria is 3652 .

Step-by-step explanation:

Since we have given that

Initial bacteria = P

Rate of growth = 85%

Number of hours = 2 hours

After 2 hours, bacteria becomes 12500

So, it becomes

$12500=P(1+0.85)^2\\\\12500=P(1.85)^2\\\\\dfrac{12500}{1.85^2}=P\\\\3652.30=P$

Hence, the initial number of bacteria is 3652 bacteria.

# learn more:

The relative growth rate for a certain type of bacteria population is 85% per hour. A small culture has formed and in just 2 hours the count shows to be 12,500 bacteria in the culture. What is the initial number of bacteria in the culture?

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