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04.04.2020 •
Mathematics
A certain type of bacteria, given favorable growth medium, quadruples in population every 6 hours. Given that there were 150 bacteria to start with, how many bacteria will there be in two and a half days?
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Ответ:
157,286,400 bacteria.
Step-by-step explanation:
We have been given that a certain type of bacteria, given favorable growth medium, quadruples in population every 6 hours. Given that there were 150 bacteria to start with.
We will use exponential growth function to solve our given problem.
y = Final value,
a = Initial value,
b = Growth factor.
x = Time.
Quadruples meaning 4 at a time, so growth factor is 4.
We are also told that population becomes 4 times every 6 hours, so time would be
.
Initial value is given as 150.
Upon substituting these values in above formula, we will get:
Let us convert two and a half days into hours.
1 day = 24 hours.
2.5 days = 2.5*24 hours = 60 hours.
To find the bacteria population in two and half days, we will substitute
in our formula as:
Therefore, there will be 157,286,400 bacteria in two and a half days.
Ответ:
2
Step-by-step explanation: