## anonymous one year ago 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

1. anonymous

so, it is 1000 bact every four hours

2. anonymous

yes i believe so

3. anonymous

so 17 hours isa odd number,

4. anonymous

maybe 4/17 try that

5. anonymous

idk how to use this formula P=Ae^kt

6. anonymous

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.

7. anonymous

8. anonymous

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

9. anonymous

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

10. anonymous

hello?

11. triciaal

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

12. triciaal

P=Ae^kt

13. triciaal

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

14. anonymous

you wanna do this the quick snappy way?

15. anonymous

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

16. anonymous

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