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)
To find the number of bacteria at 8:00 a.m, we need to work backward from 9:00 a.m when there were already 120 bacteria.
Since the bacteria culture doubles every hour, at 8:00 a.m, it would be 1 hour before there were 120 bacteria. Therefore, there would be half the number of bacteria at 8:00 a.m.
Let's represent the number of bacteria at 8:00 a.m as n.
So, the equation that represents the number of bacteria at 8:00 a.m is:
n = 120/2
Simplifying, we get:
n = 60
Therefore, there were 60 bacteria at 8:00 a.m.
To determine the number of bacteria at 8:00 a.m, we can work backwards from 9:00 a.m to 8:00 a.m.
Since the bacteria doubles every hour, the equation representing the number of bacteria at each hour would be:
n = 120 * 2^(t-9)
Where n is the number of bacteria at time t, and t is the number of hours after 9:00 a.m.
Plugging in t = 8 into the equation:
n = 120 * 2^(8-9)
n = 120 * 2^(-1)
n = 120 * 1/2
n = 60
Therefore, at 8:00 a.m there were 60 bacteria.
To determine the number of bacteria at 8:00 a.m, we should first understand the growth pattern. The given information states that the culture of bacteria doubles every hour. This indicates exponential growth.
Let's break down the problem step by step:
1. We know that at 9:00 a.m, there were already 120 bacteria.
2. The bacteria doubles every hour, implying that for every additional hour, the number of bacteria is multiplied by 2.
Now, to find the equation that represents the number of bacteria at 8:00 a.m, we need to calculate the number of hours between 8:00 a.m and 9:00 a.m. In this case, it is one hour.
Let's denote the number of bacteria at 8:00 a.m as n. Using the given information that the bacteria doubles every hour, we can write the equation:
n = 120 / 2
Simplifying the equation:
n = 60
Therefore, the equation that represents the number of bacteria at 8:00 a.m is n = 60. There were 60 bacteria at 8:00 a.m.