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 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.

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 60 bacteria.

1 answer

Since the bacteria double every hour, we can denote the number of bacteria at 8:00 a.m. as \( n \). Given that at 9:00 a.m. there are 120 bacteria, we can express this relationship as:

\[ 2n = 120 \]

To find \( n \) (the number of bacteria at 8:00 a.m.), we can solve the equation:

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

Therefore, the equation that represents the number of bacteria at 8:00 a.m. is \( 2n = 120 \), and the number of bacteria at that time was 60.

So the correct response is:

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