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 = (56-53)/(1990-1985) = 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

= 1192.8-1138 = 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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