Question

a culture started with 4000 bacteria. after 4 hours,it grew to 5,200 bacteria. predict how many bacteria will be present after 11 hours. Round your answer to the nearest whole number.

Answer 1

have 1,200 divide by 4 hours to get the amount of bacteria per hour.

Answer 2

Then multiply it by 11.

Answer 3

3300?

Answer 4

@Ben00

Answer 5

I think so.

Answer 6

no it was wrong

Answer 7

@ben00

Answer 8

you have assumed a linear growth - but bacteria generally expand exponentially

Answer 9

An exponential growth model would seem to suit this situation far better. Have you (ovidia) heard of exponential growth in this course?

You might want to try this model:\[A=A _{0}e ^{kt}\]

Answer 10

thanks and No

Answer 11

Here, the initial value, A_0, would be 4000. After 4 hours, A would be 5200. Can you find the value of k?

Once you have k, you could write out your model again and this time substitute 11 for t.

Answer 12

If you stick with linear then your above calculations are OK EXCEPT you didn't add in the initial 400

Answer 13

Word to the wise: exponential growth is much faster than linear growth.