Question

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.

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 240 bacteria.
2 n equals 120 ; at 8:00 a.m., there were 240 bacteria.

2n=120
; at 8:00 a.m., there were 60 bacteria.

1 answer

To find the number of bacteria at 8:00 a.m., we need to consider how the bacteria grows over time. Since the bacteria double every hour, we can formulate an equation to represent the number of bacteria at 8:00 a.m.

Let \( n \) represent the number of bacteria at 8:00 a.m.

Since the number of bacteria at 9:00 a.m. is 120 and it doubles in one hour, the relationship can be expressed as:

\[ 2n = 120 \]

Now, solving for \( n \):

\[ n = \frac{120}{2} = 60 \]

Thus, the equation that represents the number of bacteria at 8:00 a.m. is:

\[ 2n = 120 \]

And at 8:00 a.m., there were 60 bacteria.

So the correct response is: 2n = 120; at 8:00 a.m., there were 60 bacteria.