in a laboratory The Count of bacteria in a certain experiment was increasing at the rate of 2.5% per hour find the bacteria at the end of two hours if the count was initially ?
carlota:
what was the count initially?
5,06,000
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In a laboratory the count of bacteria increasing at the rate of 2.5 percent hour so in two hour=5 percent
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Okay so, we're saying that the initial count was of 506,000 bacteria and they're increasing at a rate of 2.5% per hour.
Since they're increasing 2.5% upon the most recent count, we can understand that it is a compound increase.
This means that it doesn't increase a total 5% upon the original count, it's increasing 2.5% every hour upon the new count that is produced for every hour.
Putting 2.5 into a decimal we get 0.025.
Since this is an increase over a period of 2 hours, the multiplier will become 1.025²
So, 506000x1.025²= 531616.25
You end up with 531,616 bacteria (correct to the nearest whole number)
Hope it helps! Ask me if you need help understanding any of the parts! <3
Since they're increasing 2.5% upon the most recent count, we can understand that it is a compound increase.
This means that it doesn't increase a total 5% upon the original count, it's increasing 2.5% every hour upon the new count that is produced for every hour.
Putting 2.5 into a decimal we get 0.025.
Since this is an increase over a period of 2 hours, the multiplier will become 1.025²
So, 506000x1.025²= 531616.25
You end up with 531,616 bacteria (correct to the nearest whole number)
Hope it helps! Ask me if you need help understanding any of the parts! <3
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