Suppose that the number of bacteria in a dish increases by 50% every four hours. There are 64 bacteria initially. Write a function that describes the number of bacteria after t hours have passed.

n (t) =

Question

Mathematics

Abby Wood

16 April, 23:03

Suppose that the number of bacteria in a dish increases by 50% every four hours. There are 64 bacteria initially. Write a function that describes the number of bacteria after t hours have passed.

n (t) =

+3

Answers (1)

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Celia · Answer 1

We are going to use exponential function. The population growth is mostly formulated as

P = P₀b^ (kt)

where

P₀ = initial population

b = base number

k = proportionality constant

t = time

Given P₀ = 64. The base number is increased by 50%, in this case, 1+0.50=1.50. Yet every four hours, this will be proportionality constant. Pluging in the values, we have the function:

P = 64 (1.50) ^ (4t)

Suppose that the number of bacteria in a dish increases by 50% every four hours. There are 64 bacteria initially. Write a function that describes the number of bacteria after t hours have passed.n (t) =

Suppose that the number of bacteria in a dish increases by 50% every four hours. There are 64 bacteria initially. Write a function that describes the number of bacteria after t hours have passed.

n (t) =