I didn't understand, if I did it with formula, I would find 223.36 bacteria in 20 minutes but if there are 150 bacteria in 10 minutes then there should be 300 bacteria in 20 minutes (using the rule of three)
in math if one answer is correct then I should always find the same answers but I always find different
Can you explain to me how it works? Thank you.
(2 votes)
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The formula for the number N of bacteria after a time of t minutes is determined using the approach
Now the task also states that after 10 minutes there will be 150 bacteria. So:
With it:
PS: The rule of three won't get you anywhere.
You can find the doubling time using the logarithm:
f(x) = 100 * 1,5 ^ (x / 10)
Und nun einfach die x (Minuten) da einsetzen:
20 | 225
30 | 337,5 –> 338
60 | 1139,06 –> 1139
120 | 12974,6 –> 12975
17,1 | ≈ 200
34,2 | ≈ 400
Deine Abweichungen kommen zustande, weil du mit einer stark gerundeten Annäherung von (3 / 2) ^ (1 / 10) gerechnet hast.
Why did you make 1.5
why not 1,041
Here, the ratio is incorrect, and the result should be 225 bacteria due to exponential growth. You simply need to substitute the 20 into the equation.