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
2n=120; at 8:00 a.m., there were 240 bacteria.
2 n equals 120 ; at 8:00 a.m., there were 240 bacteria.
n2=120; at 8:00 a.m., there were 240 bacteria.
Start Fraction n over 2 End Fraction equals 120 ; at 8:00 a.m., there were 240 bacteria.
2n=120; at 8:00 a.m., there were 60 bacteria.
2 n equals 120 ; at 8:00 a.m., there were 60 bacteria.
n2=120; at 8:00 a.m., there were 60 bacteria.
The correct equation is 2n=120; at 8:00 a.m., there were 60 bacteria.
The correct equation that represents the number of bacteria, n, at 8:00 a.m. is:
2n = 120
This equation means that the number of bacteria at 9:00 a.m. (which is 120) is equal to twice the number of bacteria at 8:00 a.m.
To find out how many bacteria were there at 8:00 a.m., we can solve for n:
n = 120 / 2 = 60
Therefore, at 8:00 a.m. there were 60 bacteria.
To determine the equation that represents the number of bacteria, n, at 8:00 a.m., we can use the fact that the culture of bacteria doubles every hour.
Starting with 120 bacteria at 9:00 a.m., we need to determine how many times the population doubles to reach 8:00 a.m.
From 9:00 a.m. to 8:00 a.m. is a span of 23 hours (since there are 24 hours in a day).
Since the population doubles every hour, we raise 2 to the power of the number of hours: 2^23.
Therefore, the equation representing the number of bacteria, n, at 8:00 a.m. is:
n = 120 * (2^23)
Now, let's calculate the number of bacteria at 8:00 a.m.
Using the equation, we have:
n = 120 * (2^23)
n = 120 * 8,388,608
n ≈ 1,006,632,960
So, at 8:00 a.m., there were approximately 1,006,632,960 bacteria.