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anonymous
 one year ago
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
anonymous
 one year ago
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

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@xapproachesinfinity

xapproachesinfinity
 one year ago
Best ResponseYou've already chosen the best response.3did you try drawing this!

xapproachesinfinity
 one year ago
Best ResponseYou've already chosen the best response.3to see what kind of graph it might be

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0No, i don't know where to start. But i do have to show my work

xapproachesinfinity
 one year ago
Best ResponseYou've already chosen the best response.3well look for an online plotter put all of those points then post the picture you got here

xapproachesinfinity
 one year ago
Best ResponseYou've already chosen the best response.3this looks like a polynomial to me!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.0When 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
 one year ago
Best ResponseYou've already chosen the best response.0How do i keep it going to find the answer for 9 hours though

xapproachesinfinity
 one year ago
Best ResponseYou've already chosen the best response.3the second difference is constant 0.76 so it really is a quadratic

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so how do we use the quadratic to find the answer? im confused and need to show my work

xapproachesinfinity
 one year ago
Best ResponseYou've already chosen the best response.3there 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
 one year ago
Best ResponseYou've already chosen the best response.3if you got the equation you plug 9 for f(9)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0A=3.8 B=2.45 and C=5.1

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I had to find that in the question previous to this one

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Are we doing it differently because we are plugging in the 9?

xapproachesinfinity
 one year ago
Best ResponseYou've already chosen the best response.3you 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
 one year ago
Best ResponseYou've already chosen the best response.3f(0)=5.1=c actually c is good!

xapproachesinfinity
 one year ago
Best ResponseYou've already chosen the best response.3how did you find b and a

xapproachesinfinity
 one year ago
Best ResponseYou've already chosen the best response.3f(1)=3.03=a+b f(2)=1.72=4a+2b

xapproachesinfinity
 one year ago
Best ResponseYou've already chosen the best response.3oh i forgot c a+b+c=3.03 4a+2b+c=1.72

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok i've written what we have so far

xapproachesinfinity
 one year ago
Best ResponseYou've already chosen the best response.3solve that for a and b

xapproachesinfinity
 one year ago
Best ResponseYou've already chosen the best response.3yes! now you have two equation solve for a and b

xapproachesinfinity
 one year ago
Best ResponseYou've already chosen the best response.3i got a=0.38 b=2.45

xapproachesinfinity
 one year ago
Best ResponseYou've already chosen the best response.3so we have f(x)=0.38x^22,45x+5.1

xapproachesinfinity
 one year ago
Best ResponseYou've already chosen the best response.3http://prntscr.com/7odnai looks like the shape we have before

xapproachesinfinity
 one year ago
Best ResponseYou've already chosen the best response.3plug in 9 for f(9)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0How do i do that though ? thats where i get lost

xapproachesinfinity
 one year ago
Best ResponseYou've already chosen the best response.3f(9)=0.38 (9)^22.45(9)+5.1

xapproachesinfinity
 one year ago
Best ResponseYou've already chosen the best response.3you just replace x by 9

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh ok, one sec im gonna calculate

xapproachesinfinity
 one year ago
Best ResponseYou've already chosen the best response.3we need final value what is it?

xapproachesinfinity
 one year ago
Best ResponseYou've already chosen the best response.3that's the number of bacteria after 9hours in thousands

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So thats our final answer 13.83? :)
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