A science cyst counts 25 bacteria present in a culture and finds that the number of bacteria triples each hour. The function y = 25. 3^x models the number of bacteria after x hours. Estimate when there will be about 1170 bacteria in the culture.

Answer 1

To estimate when there will be about 1170 bacteria in the culture, we can set up the equation:

1170 = 25 * 3^x

Divide both sides by 25:

46.8 = 3^x

Now, we need to solve for x. We can estimate that x is between 4 and 5, since 3^4 = 81 and 3^5 = 243.

Using trial and error or a calculator, we find that x is approximately 4.23.

Therefore, there will be about 1170 bacteria in the culture after approximately 4.23 hours.