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
n2=120; at 8:00 a.m., there were 60 bacteria.
Start Fraction n over 2 End Fraction equals 120 ; at 8:00 a.m., there were 60 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.
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.
None of the provided options accurately represent the equation for the number of bacteria at 8:00 a.m.
Since the bacteria double every hour, we can use the equation n = n0 * (2^t), where n is the number of bacteria at a given time, n0 is the initial number of bacteria, and t is the time in hours.
In this case, at 9:00 a.m., there were already 120 bacteria, so n0 = 120.
To find the number of bacteria at 8:00 a.m. (t = -1), we can substitute these values into the equation:
n = 120 * (2^(-1))
n = 120 * (1/2)
n = 60
Therefore, at 8:00 a.m., there were 60 bacteria.
The correct equation is: Start Fraction n over 2 End Fraction equals 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. At 8:00 a.m., there were 60 bacteria.
The equation that represents the number of bacteria, n, at 8:00 a.m is "2n=120." To understand this equation, let's break it down:
- The variable "n" represents the number of bacteria at a certain time.
- The number "2" represents the rate at which the bacteria double every hour.
- The value "120" represents the number of bacteria at 9:00 a.m.
So, if we use this equation, we can solve for the value of "n" at 8:00 a.m. By rearranging the equation to isolate "n," we divide both sides by 2:
2n=120
n=120/2
n=60
Therefore, at 8:00 a.m., there were 60 bacteria.