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 am? How many bacteria were there (1 point)
The equation that represents the number of bacteria, n, at 8:00 am can be written as:
n = 120 * 2^(t-9)
Where t represents the number of hours after 9:00 am.
To find the number of bacteria at 8:00 am, we can substitute t=8 into the equation:
n = 120 * 2^(8-9)
n = 120 * 2^(-1)
n = 120 * (1/2)
n = 60
Therefore, there were 60 bacteria at 8:00 am.
To find the equation that represents the number of bacteria, n, at 8:00 am, we need to determine how many hours have passed from 8:00 am to 9:00 am.
Since there are 24 hours in a day and the bacteria double every hour, there is a total of 1 hour between 8:00 am and 9:00 am.
Let's represent the number of bacteria at 8:00 am as n0. We know that at 9:00 am, there were already 120 bacteria. So, we can write an equation:
n = n0 * 2^(hours)
In this case, n0 represents the initial number of bacteria (at 8:00 am) and hours represents the number of hours that have passed.
Since there is 1 hour between 8:00 am and 9:00 am, the equation becomes:
n = n0 * 2^(1)
Now, we can substitute n = 120 and solve for n0:
120 = n0 * 2^(1)
By dividing both sides of the equation by 2, we can isolate n0:
n0 = 120 / 2
Simplifying further, we calculate:
n0 = 60
Therefore, the equation that represents the number of bacteria, n, at 8:00 am is:
n = 60 * 2^(hours)
At 8:00 am, there were 60 bacteria.
To find the equation representing the number of bacteria at 8:00 am, we can work backward from the given information.
We know that the bacteria doubles every hour, so at 9:00 am, there were already 120 bacteria. This means that at 8:00 am, the bacteria doubled once.
To represent the number of bacteria doubling once, we can use the equation: n = 2 * previous number of bacteria.
Let's represent the number of bacteria at 8:00 am as x. Plugging this into the equation, we get:
x = 2 * 120
Simplifying this equation, we find:
x = 240
Therefore, the equation representing the number of bacteria at 8:00 am is n = 240, and the number of bacteria at that time was 240.