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

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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

Mathematics
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so, it is 1000 bact every four hours
yes i believe so
so 17 hours isa odd number,

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maybe 4/17 try that
idk how to use this formula P=Ae^kt
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.
Start with P = 5000e^(kt)
Plug in the given values for P and t and solve for k.
can you please give me the answer i have 2 minutes left and i've never seen a problem like this before
hello?
@boogaboo this is not a linear function where the rate is constant
P=Ae^kt
when P = 5000 t =0 when P = 6000 t = 4 find P when t = 17
you wanna do this the quick snappy way?
grows by a factor of \(\frac{6000}{5000}=\frac{6}{5}\) every 4 hours model as \[\huge P(t)=5000\times( \frac{6}{5})^{\frac{t}{4}}\]
if you want to know the population in 17 hours replace \(t\) by \(17\) and compute \[\huge P(17)=5000\times( \frac{6}{5})^{\frac{17}{4}}\]

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