Question

A culture started with 5,000 bacteria. After 4hours, it grew to 6,000 bacteria. Predict how many bacteria will be present after 17ours.
Round your answer to the nearest whole number.
P=Ae^kt

Answer 1

I think I got the answer, I want to know if it's right.

Answer 2

easy way or hard way

Answer 3

Easy way

Answer 4

e is approx 2.7 right??

Answer 5

A=5000*(1.1)^17/6 =6550 ?

Answer 6

Is it wrong?

Answer 7

i will do it the easy way.
\[6000\div 5000=1.2\] so it get 20% in 4hours. formula is
\[5000(1.2)^{\frac{t}{4}}\] i replace t by 17 to get
\[5000(1.2)^{\frac{17}{4}}=10851\]

Answer 8

Is it wrong?

Answer 9

Im still confused :(

Answer 10

@ilovemath your denominator should be 4, not 6

Answer 11

and it increased by 20% not 10%, so you should use 1.2 not 1.1

Answer 12

first line is
A culture started with 5,000 bacteria. After 4hours, it grew to 6,000 bacteria.

so we know that 6000/5000 = 1.2
and we know it increases by this factor every 4 hours, not every six hours. so you should have
\[5000(1.2)^{\frac{t}{4}}\] for your fomula

Answer 13

unconfused or still stuck. if stuck let me know

Answer 14

Is it wrong?

Answer 15

I think I get it, im going to try & do one & im going to to post it up, to see if i got it right (:

Answer 16

ok but did you understand the formula i wrote? because that is the right one. it is not
\[5000(1.1)^{\frac{17}{6}}\] but should be
\[5000(1.2)^{\frac{17}{4}}\]

Answer 17

so what does it come out to?