Question

Juan starts a bacteria culture and records the number of bacteria in the Petri dish for the first couple of hours.

Hours Bacteria
0
160
1
320
2
640
If the pattern continues, how many bacteria can he expect to find after 17 h?
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Answer 1

Juan's bacteria culture is experiencing exponential growth, doubling every hour. Using the formula for such growth, p * 2^n, where p is the initial amount of bacteria (160) and n is the number of hours (17), we can calculate that Juan can expect to see approximately 20,971,520 bacteria after 17 hours.

Step-by-step explanation:

In this scenario, we see that the number of bacteria is doubling every hour. So, the population of bacteria follows an exponential growth pattern. To find the population after 17 hours, we have to multiply the initial count by 2 raised to the power of 17.

The formula for this type of growth is a = p * 2^n, where:

• a = the amount of bacteria after n hours
• p = initial amount of bacteria
• n = number of hours

In this case, p = 160 (initial count), and n = 17 (number of hours). So the number of bacteria after 17 hours: a = 160 * 2^17 = 20,971,520.

Therefore, Juan can expect to find approximately 20,971,520 bacteria in the dish after 17 hours.

Learn more about exponential growth

Answer 2

9514 1404 393

Answer:

20,971,520

Step-by-step explanation:

The population is doubling every hour, so after 17 hours it will be the initial population (160) multiplied by 2^17 = 131,072.

After 17 hours, he can expect to find 160×131072 = 20,971,520 bacteria.