Question

Please explain....
A bacteria culture has 2,000 bacteria. The number of bacteria increases by 5% each hour. How many bacteria are there after 12 hours? Please explain

Answer 1

What is 5 percent of 2,000? That should help you get started.

Answer 2

each hour the current number is increased to 105% of th ecurrent number.

so after 1 hour you should have
2000*1.05

After 2 hours
2000* 1.05 * 1.05

after 3 hours
2000 * 1.05 * 1.05 * 1.05

see the pattern?

Answer 3

It is an exponential equation , y=A*b^x , initial value A, and base multiplier b.

Answer 4

so after 12 hours i got 3591.71 (rounded) did i do that right??

Answer 5

looks right

Answer 6

Thank you..... and can you show me how to do it with the formula
( i go to a online school and the video is very hard to understand and the teacher takes forever to email back)

Answer 7

just what you did
to increase a number by \(5\%\) multiply it by \(100\%+5\%=105\%=1.05\)
to do it \(x\) times (say 12 times for example) multiply it by \(1.05^x\)

Answer 8

oh kml i can't i believe i just really did that for each number when all i had to do was put the exponent of 12...I had a slow moment...thanks you guys