anonymous
  • anonymous
Estimate the population of bacteria at 9 hours. Time (hours) 0 1 2 3 4 5 6 Population (1000s) 5.1 3.03 1.72 1.17 1.38 2.35 4.08
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
@xapproachesinfinity
xapproachesinfinity
  • xapproachesinfinity
did you try drawing this!
xapproachesinfinity
  • xapproachesinfinity
to see what kind of graph it might be

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More answers

anonymous
  • anonymous
No, i don't know where to start. But i do have to show my work
xapproachesinfinity
  • xapproachesinfinity
well look for an online plotter put all of those points then post the picture you got here
anonymous
  • anonymous
ok one second
xapproachesinfinity
  • xapproachesinfinity
this looks like a polynomial to me!
anonymous
  • anonymous
http://www.wolframalpha.com/input/?i=%280%2C5.1%29+%281%2C3.03%29%2C+%282%2C1.72%29%2C+%283%2C1.17%29%2C+%284%2C1.38%29%2C+%285%2C2.35%29%2C+%286%2C4.08%29
mathmate
  • mathmate
When the numbers are given in equal intervals, another way is to calculate the differences of the given numbers. If the differences are not constant, it means that the function does not represent a straight line. However, you can calculate the differences of the previously calculated differences. If the second difference is constant, the function is a quadratic. You can then continue the sequences to find f(9).
anonymous
  • anonymous
How do i keep it going to find the answer for 9 hours though
xapproachesinfinity
  • xapproachesinfinity
the second difference is constant 0.76 so it really is a quadratic
anonymous
  • anonymous
so how do we use the quadratic to find the answer? im confused and need to show my work
xapproachesinfinity
  • xapproachesinfinity
there is a different method then the sequence f(x)=ax^2+bx+c f(0)=5.1 f(1)=3.03 f(2)=1.17 you got 3 equation in terms of a,b,c solve for them
xapproachesinfinity
  • xapproachesinfinity
if you got the equation you plug 9 for f(9)
anonymous
  • anonymous
A=3.8 B=-2.45 and C=5.1
xapproachesinfinity
  • xapproachesinfinity
no no
anonymous
  • anonymous
I had to find that in the question previous to this one
anonymous
  • anonymous
Are we doing it differently because we are plugging in the 9?
xapproachesinfinity
  • xapproachesinfinity
you have to find a,b , and c plug 0 for one equation 1 for the second 2 doe the third system of three equation
xapproachesinfinity
  • xapproachesinfinity
f(0)=5.1=c actually c is good!
xapproachesinfinity
  • xapproachesinfinity
how did you find b and a
xapproachesinfinity
  • xapproachesinfinity
f(1)=3.03=a+b f(2)=1.72=4a+2b
xapproachesinfinity
  • xapproachesinfinity
oh i forgot c a+b+c=3.03 4a+2b+c=1.72
xapproachesinfinity
  • xapproachesinfinity
c=5.1
anonymous
  • anonymous
Ok i've written what we have so far
xapproachesinfinity
  • xapproachesinfinity
solve that for a and b
anonymous
  • anonymous
4a+2b=-3.38?
xapproachesinfinity
  • xapproachesinfinity
yes! now you have two equation solve for a and b
xapproachesinfinity
  • xapproachesinfinity
i got a=0.38 b=-2.45
anonymous
  • anonymous
thats what i have
xapproachesinfinity
  • xapproachesinfinity
so we have f(x)=0.38x^2-2,45x+5.1
xapproachesinfinity
  • xapproachesinfinity
http://prntscr.com/7odnai looks like the shape we have before
xapproachesinfinity
  • xapproachesinfinity
plug in 9 for f(9)
anonymous
  • anonymous
How do i do that though ? thats where i get lost
xapproachesinfinity
  • xapproachesinfinity
f(9)=0.38 (9)^2-2.45(9)+5.1
xapproachesinfinity
  • xapproachesinfinity
you just replace x by 9
anonymous
  • anonymous
oh ok, one sec im gonna calculate
anonymous
  • anonymous
F= 30.78-22.05+5.1
xapproachesinfinity
  • xapproachesinfinity
we need final value what is it?
anonymous
  • anonymous
13.83
xapproachesinfinity
  • xapproachesinfinity
yes!
xapproachesinfinity
  • xapproachesinfinity
that's the number of bacteria after 9hours in thousands
anonymous
  • anonymous
So thats our final answer 13.83? :)

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