Posted by Valerie on Friday, April 22, 2011 at 6:59pm.
The town of appleville recorded the following dates and populations.
YEAR POPULATION
1985 51.5
1985 53
1990 56
1995 62
Estimate the approximate population of Appleville in 1988 by finding an equation and then substituting.
HELP!!!

Algebra  Damon, Friday, April 22, 2011 at 7:19pm
Do this exactly the way w and I did the previous one

Algebra  Valerie, Friday, April 22, 2011 at 7:24pm
Omg! Would you just please help me I have 3 kids and I'm cooking dinner, please just help me understand this one!

ok  Damon, Friday, April 22, 2011 at 7:32pm
It says approximate so put it on the straight line between 1985 and 1990
what is that line?
m = (5653)/(19901985) = 3/5
so y = (3/5)x + b
when x = 1985, y = 53 so
53 = (3/5) (1985) + b
53 = 1191+b
b = 1138
so
y = (3/5) x  1138 between 1985 and 1990 approximately
y at 1988 = (3/5)(1988)  1138
= 1192.81138 = 54.8 approximately

Algebra  Damon, Friday, April 22, 2011 at 7:33pm
Now before dinner is ready go back and understand the one w did and I explained.

Algebra  Mgraph, Friday, April 22, 2011 at 7:35pm
We can find this equation using different methods (Least square method, Lagrange interpolation polynomial method, ...)
Which you are applying?

Algebra  Damon, Friday, April 22, 2011 at 7:37pm
What is did here is called "linear interpolation" and I suspect it is what your text wants looking at the level of your previous problem. We could get more sophisticated fitting these four points with a cubic polynomial but based on the other problem I am quite sure your class is not there yet. I am quite sure by approximate they mean fit with a straight line between the closest points, linear interpolation.

Algebra  Damon, Friday, April 22, 2011 at 7:39pm
Yes Mgraph, but look at the previous question further down. I think this class is on straight lines. I could be wrong of course.

Algebra  Damon, Friday, April 22, 2011 at 7:49pm
I can not see them solving for a least square fit or using Lagrange polynomials.
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