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Posted by **Valerie** on Friday, April 22, 2011 at 6:59pm.

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 7:19pmDo this exactly the way w and I did the previous one

- Algebra -
**Valerie**, Friday, April 22, 2011 at 7:24pmOmg! 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 7:32pmIt 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 7:33pmNow before dinner is ready go back and understand the one w did and I explained.

- Algebra -
**Mgraph**, Friday, April 22, 2011 at 7:35pmWe 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 7:37pmWhat 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 7:39pmYes 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 7:49pmI can not see them solving for a least square fit or using Lagrange polynomials.

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