Question

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

PLEASE HELP, IDK HOW TO DO THIS

Answer 1

so, it is 1000 bact every four hours

Answer 2

yes i believe so

Answer 3

so 17 hours isa odd number,

Answer 4

maybe 4/17 try that

Answer 5

idk how to use this formula P=Ae^kt

Answer 6

Not 1000 every 4 hours. Just 1000 over the first 4 hours.
In the formula, P is the amount at any time, A is the initial amount, k is a constant we have to find, and t is the time.

Answer 7

Start with P = 5000e^(kt)

Answer 8

Plug in the given values for P and t and solve for k.

Answer 9

can you please give me the answer i have 2 minutes left and i've never seen a problem like this before

Answer 10

hello?

Answer 11

@boogaboo this is not a linear function where the rate is constant

Answer 12

P=Ae^kt

Answer 13

when P = 5000 t =0
when P = 6000 t = 4
find P when t = 17

Answer 14

you wanna do this the quick snappy way?

Answer 15

grows by a factor of \(\frac{6000}{5000}=\frac{6}{5}\) every 4 hours
model as
\[\huge P(t)=5000\times( \frac{6}{5})^{\frac{t}{4}}\]

Answer 16

if you want to know the population in 17 hours replace \(t\) by \(17\) and compute \[\huge P(17)=5000\times( \frac{6}{5})^{\frac{17}{4}}\]