Question

The number of bacteria in a colony growing exponentially. At 4 pm yesterday the number of bacteria is 400.And at 6 pm yesterday it was 3600. How many bacteria in the colony at 7 pm?

Answer 1

Answer:

10800

Step-by-step explanation:

4 PM: 400

5 PM: 1200

6 PM: 3600

it multiplies by 3, so the answer is 10800

Answer 2

Answer:

10800

Step-by-step explanation:

The number of bacteria in a colony growing exponentially. At 4 pm yesterday the number of bacteria is 400.And at 6 pm yesterday it was 3600. How many bacteria in the colony at 7 pm?

Step-by-step explanation:

B = B₀ Kⁿ

At 4 pm yesterday the number of bacteria is 400

B₀ = 400

n = number of hrs

at 6 pm yesterday it was 3600 => n =  6- 4 = 2 hrs

B₂ = 3600

=> 3600 = 400 * k²

=> k² =  9

=> k = 3

At 7 Pm Yesterday

n = 7-4 = 3

B₃ = 400 * 3³

=> B₃ = 27 * 400

=> B₃ = 10800

bacteria in the colony at 7 pm = 10800

or B₂ = 3600 & n = 7-6 = 1

Then B₃ = 3600 * 3¹ = 10800

And boom here