Question

A researcher at the Center for Disease Control and Prevention is studying the growth of a certain bacteria. He starts his experiment with 300 bacteria that grow at a rate of 9% per hour. He will check on the bacteria every 7 hours. How many bacteria will he find in 7 hours? Round your answer to the nearest whole number.

a) 384
b) 413
c) 479
d) 546

Answer 1

The researcher will find approximately 327 bacteria in 7 hours.

Step-by-step explanation:

The researcher starts with 300 bacteria that grow at a rate of 9% per hour. To find the number of bacteria after 7 hours, we can use the formula:

Final Amount = Initial Amount * (1 + Growth Rate)^Number of Periods

Plugging in the values, we get:

Final Amount = 300 * (1 + 0.09)^1 = 300 * 1.09 = 327

So, the researcher will find approximately 327 bacteria in 7 hours, rounded to the nearest whole number.