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 answer

To find the number of bacteria at 8:00 a.m., we need to go back one hour from 9:00 a.m. to 8:00 a.m. Since the bacteria double every hour, we can use the information we have:

At 9:00 a.m., there were 120 bacteria. Because the culture doubles every hour, we can express the number of bacteria an hour earlier (at 8:00 a.m.) with the following equation:

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

where \( n \) is the number of bacteria at 8:00 a.m.

Calculating that:

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

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

In summary, the equation representing the number of bacteria, \( n \), at 8:00 a.m. is \( n = \frac{120}{2} \) and the number of bacteria was 60.