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did you try drawing this!
to see what kind of graph it might be
No, i don't know where to start. But i do have to show my work
well look for an online plotter put all of those points then post the picture you got here
ok one second
this looks like a polynomial to me!
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).
How do i keep it going to find the answer for 9 hours though
the second difference is constant 0.76 so it really is a quadratic
so how do we use the quadratic to find the answer? im confused and need to show my work
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
if you got the equation you plug 9 for f(9)
A=3.8 B=-2.45 and C=5.1
I had to find that in the question previous to this one
Are we doing it differently because we are plugging in the 9?
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
f(0)=5.1=c actually c is good!
how did you find b and a
oh i forgot c a+b+c=3.03 4a+2b+c=1.72
Ok i've written what we have so far
solve that for a and b
yes! now you have two equation solve for a and b
i got a=0.38 b=-2.45
thats what i have
so we have f(x)=0.38x^2-2,45x+5.1
http://prntscr.com/7odnai looks like the shape we have before
plug in 9 for f(9)
How do i do that though ? thats where i get lost
you just replace x by 9
oh ok, one sec im gonna calculate
we need final value what is it?
that's the number of bacteria after 9hours in thousands
So thats our final answer 13.83? :)