In a culture of yeast the active ferment doubles itself in 3 hours. Assuming that the quantity increases at a rate proportional to itself, determine the number of times it multiplies itself in 15 hours.
Answers
Let x = initial growth rate
2x = growth rate at 1 hour
2.75 is 2 3/4 hours, 3/4 hour is 3/4 x 60 = 45 minutes
total time = 60(2) +45 = 165 minutes
by ratio and proportion;
? = 5.5x
therefore, the original amount will increase 5.5 times in just 2.75 hours, amazing!
Answer:
32 times
Step-by-step explanation:
In a culture of yeast the active ferment doubles itself in 3 hours. Assuming that the quantity increases at a rate proportional to itself, determine the number of times it multiplies itself in 15 hours.
Let say at beginning Fermant = F
in next 3 hours it get doubled so becomes = 2F
in Further next 3 hours( total 6 hours) it gets doubled again so it becomes = 2 * 2F = 4F
in Further next 3 hours( total 9 hours) it gets doubled again so it becomes = 2 * 4F = 8F
in Further next 3 hours( total 12 hours) it gets doubled again so it becomes = 2 * 8F = 16F
in Further next 3 hours( total 15 hours) it gets doubled again so it becomes = 2 * 16F = 32F
So it multiplied 32 times itself in 15 hours
or Simply it multiplies = 2^(15/3) = 2⁵ = 32