at 9 am there were 10 bacteria in a petri dish
if the number of bacteria doubles every minute what is the number of bacteria in a dish at 10 am
10 * 2^60
must be some large Petri dish!
To determine the number of bacteria in the dish at 10 am, we need to find out how many minutes have passed between 9 am and 10 am.
Since there are 60 minutes in an hour, from 9 am to 10 am, there are 60 minutes.
Now, we know that the number of bacteria doubles every minute. Therefore, after 1 minute, there will be 10 bacteria x 2 = 20 bacteria.
After 2 minutes, there will be 20 bacteria x 2 = 40 bacteria.
After 3 minutes, there will be 40 bacteria x 2 = 80 bacteria.
And so on...
After 60 minutes, there will be 10 bacteria × 2^60 = 1.1529215 × 10^18 bacteria.
Therefore, at 10 am, there will be approximately 1.1529215 × 10^18 bacteria in the dish.
To find the number of bacteria in the petri dish at 10 am, we need to determine how many times the bacteria double within the given time period.
From 9 am to 10 am, there are 60 minutes (since there are 60 minutes in an hour). Therefore, we need to calculate how many times the bacteria double in 60 minutes.
Since the bacteria double every minute, we can use the formula:
Number of Bacteria = Initial Number of Bacteria * 2^N,
where N is the number of times the bacteria double.
To find N, we can subtract 9 from 10 to get the number of hours passed, which is 1 hour. Since there are 60 minutes in an hour, N would be equal to 60.
Plugging the values into the formula:
Number of Bacteria = 10 * 2^60.
Calculating 2^60, we get approximately 1.15 x 10^18.
Therefore, at 10 am, there will be approximately 1.15 x 10^18 bacteria in the petri dish.