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.

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.

1 answer

To determine the number of bacteria at 8:00 a.m., we need to consider that the bacteria double every hour.

Since we know that at 9:00 a.m. there are 120 bacteria, we can find the number of bacteria at 8:00 a.m. by halving the count at 9:00 a.m. because bacteria doubled from 8:00 a.m. to 9:00 a.m.

Let \( n \) be the number of bacteria at 8:00 a.m. Therefore, the relationship can be represented as:

\[ 2n = 120 \]

To find \( n \):

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

So, at 8:00 a.m., there were 60 bacteria. Thus, the correct response is:

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