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.

n/2=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.

n/2=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.

1 answer

To determine the number of bacteria at 8:00 a.m., we need to work backwards from the number of bacteria at 9:00 a.m. Using the information given:

  • The bacteria doubles every hour.
  • At 9:00 a.m., there were 120 bacteria.

To find the number at 8:00 a.m. (which is one hour earlier), we need to divide by 2:

\[ \frac{n}{2} = 120 \] To isolate \(n\), we multiply both sides by 2:

\[ n = 2 \times 120 = 240 \]

So, at 8:00 a.m., there were 240 bacteria.

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

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

And at 8:00 a.m., there were 240 bacteria.