Answered

IDNLearn.com offers a seamless experience for finding and sharing knowledge. Get prompt and accurate answers to your questions from our experts who are always ready to help.

A researcher at the Centers for Disease Control and Prevention is studying the growth of a certain bacteria. He starts his experiment with 100 bacteria that grow at a rate of 12% per hour. He will check on the bacteria every 8 hours. How many bacteria will he find in 8 hours? Round your answer to the nearest whole number.

Sagot :

Raphealnwobiidn

Based on the growth of the bacteria, there would be 248 bacteria in 8 hours.

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let y represent the amount of bacteria remaining after x hours.

The bacteria grow at the rate of 12% per hour. Hence:

b = 100% + 12% = 1.12

There are initially 100 bacteria, hence a = 100.

The equation becomes:

y = 100(1.12)ˣ

After 8 hours:

y = 100(1.12)⁸ = 248 bacteria

There would be 248 bacteria in 8 hours.

Find out more at: https://brainly.com/question/7259975

Answer:

248

Step-by-step explanation:

We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Your search for answers ends at IDNLearn.com. Thank you for visiting, and we hope to assist you again soon.