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 60 bacteria.
2 n 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.

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 240 bacteria.

1 answer

To determine the number of bacteria at 8:00 a.m., we need to understand that the culture doubles every hour. Given that there were 120 bacteria at 9:00 a.m., we can find the number of bacteria at 8:00 a.m. by dividing the 9:00 a.m. count by 2:

\[ \text{Number of bacteria at 8:00 a.m.} = \frac{120}{2} = 60 \]

Now, let's represent that with an equation. If we let \( n \) be the number of bacteria at 8:00 a.m., then at 9:00 a.m. we would have:

\[ 2n = 120 \]

Solving this:

  1. Divide both sides by 2: \[ n = \frac{120}{2} = 60 \]

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

The correct response is:

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