A culture of a certain bacteria doubles every hour. At 9:00 a.m, there were already 120 bacteria. Which equation represents the number of bacteria, n , at 8:00 a.m? How many bacteria were there?(1 point) Responses
The equation that represents the number of bacteria, n, at 8:00 a.m is:
n = 120 / 2^(1)
To find out how many bacteria were there at 8:00 a.m, we can substitute the value of n into the equation:
n = 120 / 2^(1)
n = 120 / 2
n = 60
So, there were 60 bacteria at 8:00 a.m.
To find the equation representing the number of bacteria at 8:00 a.m, we need to determine how many hours have passed from 8:00 a.m to 9:00 a.m.
Since there is a doubling of bacteria every hour, we can use the equation: n = (initial number of bacteria) * 2^t, where n represents the number of bacteria, and t represents the number of hours that have passed.
From 8:00 a.m to 9:00 a.m, 1 hour has passed. Therefore, t = 1.
Now, we can substitute the values into the equation:
n = 120 * 2^1
Simplifying the equation:
n = 120 * 2
n = 240
Therefore, the equation that represents the number of bacteria at 8:00 a.m is n = 240, and there were 240 bacteria at that time.
To find the equation that represents the number of bacteria at 8:00 a.m., we can work backwards from the given information.
We know that the bacteria double every hour. So, from 8:00 a.m. to 9:00 a.m. is a time span of 1 hour.
If we let 'x' represent the number of hours before 9:00 a.m., then at 8:00 a.m. (x = 0), the number of bacteria would be 120 divided by 2 raised to the power of 'x'.
Therefore, the equation representing the number of bacteria, 'n', at 8:00 a.m. is:
n = 120 / 2^x
To find the number of bacteria at 8:00 a.m., we substitute x = 0 into the equation above:
n = 120 / 2^0
n = 120 / 1
n = 120
So, there were 120 bacteria at 8:00 a.m.