Question

A particular type of bacteria grows at a rate of 35 % per day. If my dog got infected with 9900 bacterium when her leg was cut by barbed wire, how many bacterium will be present in 11 days when I finally decide I need to take the dog to the veterinarian.

Answer 1

this is a progression which increases by a factor of 1.35 everyday

after 1 day the number of bacteria = 9900 * 1.35
after 2 days the number of bacteria = 9900 * 1.35 ^2
after 3 .. .. .............................. = 9900 *1.35^3

and so on
do you see the pattern?

so what do you think the expression for the number of bacteria will be after 11 days?

Answer 2

9900 * 1.35^11
The answer is extremely long. How do I input into my webwork?

Answer 3

use your calculator

Answer 4

or the calculator on your computer

Answer 5

your answer should be 268,724

Answer 6

- poor dog!

Answer 7

Thank you! I was pressing the wrong button on my calculator. I had the right formula, but you clarified it for me. Yes, and poor dog.

Answer 8

yw