A certain bacteria doubles the number of its cells every 20 minutes. A scientist puts 50 Cells in a culture disk. How many cells will be in the culture disk in 2 hours?
2 hours = 6* 20 minutes
so, 50*2^6
To solve this problem, we need to determine how many times the bacteria will double within the given time frame, and then calculate the final number of cells.
First, let's convert the time frame to minutes. Since there are 60 minutes in an hour, 2 hours is equivalent to 2 * 60 = 120 minutes.
Next, we need to find out how many times the bacteria will double in 120 minutes. Since the bacteria doubles every 20 minutes, we divide 120 by 20 to get the number of doubling cycles: 120 / 20 = 6.
Now, we know that the bacteria will double 6 times within 2 hours.
To calculate the final number of cells, we use the formula:
Final number of cells = Initial number of cells * 2^(number of doubling cycles)
Given that the initial number of cells is 50 and the number of doubling cycles is 6, we can plug these values into the formula:
Final number of cells = 50 * 2^6
Now we calculate 2^6: 2 * 2 * 2 * 2 * 2 * 2 = 64
Final number of cells = 50 * 64 = 3200
Therefore, there will be 3200 cells in the culture dish after 2 hours.