Need Help With Word Problem Please!!!

smarshall

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Sep 22, 2008
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I'm not sure what they are asking for here please help.

A house was purchased for $72,000. After 9 years the value of the house was $90,000. Express the house's value V(t) in terms of time t in years.

I know that in 9 years the value increased 18000 and that is an average of 2000 a year. I also know that 2000 is 25% of 72,000. I don't know if I even need to know those things, or what the question is asking.
 
smarshall said:
I'm not sure what they are asking for here please help.

A house was purchased for $72,000. After 9 years the value of the house was $90,000. Express the house's value V(t) in terms of time t in years.

I know that in 9 years the value increased 18000 and that is an average of 2000 a year. I also know that 2000 is 25% of 72,000. I don't know if I even need to know those things, or what the question is asking.

This problem is ill-defined.

It gives you two points (what are those?) asks you to draw a curve through it.

The simplest curve would be a st-line - but it needs to state that.

I believe it is asking you to find the equation of straight line through those points.

If a straight line is drawn through (x[sub:2x6atlcv]1[/sub:2x6atlcv],y[sub:2x6atlcv]1[/sub:2x6atlcv]) and (x[sub:2x6atlcv]2[/sub:2x6atlcv],y[sub:2x6atlcv]2[/sub:2x6atlcv]), then the equation of the straight line is:

(y - y[sub:2x6atlcv]1[/sub:2x6atlcv])/(y[sub:2x6atlcv]2[/sub:2x6atlcv] - y[sub:2x6atlcv]1[/sub:2x6atlcv]) = (x - x[sub:2x6atlcv]1[/sub:2x6atlcv])/(x[sub:2x6atlcv]2[/sub:2x6atlcv] - x[sub:2x6atlcv]1[/sub:2x6atlcv])

\(\displaystyle \frac{y \, - |, y_1}{y_2 \, - |, y_1} \, = \, \frac{x \, - |, x_1}{x_2 \, - |, x_1}\)
 
I think you posted to the wrong question

Subhotosh Khan said:
smarshall said:
I'm not sure what they are asking for here please help.

A house was purchased for $72,000. After 9 years the value of the house was $90,000. Express the house's value V(t) in terms of time t in years.

I know that in 9 years the value increased 18000 and that is an average of 2000 a year. I also know that 2000 is 25% of 72,000. I don't know if I even need to know those things, or what the question is asking.

This problem is ill-defined.

It gives you two points (what are those?) asks you to draw a curve through it.

The simplest curve would be a st-line - but it needs to state that.

I believe it is asking you to find the equation of straight line through those points.

If a straight line is drawn through (x[sub:3fpupjea]1[/sub:3fpupjea],y[sub:3fpupjea]1[/sub:3fpupjea]) and (x[sub:3fpupjea]2[/sub:3fpupjea],y[sub:3fpupjea]2[/sub:3fpupjea]), then the equation of the straight line is:

(y - y[sub:3fpupjea]1[/sub:3fpupjea])/(y[sub:3fpupjea]2[/sub:3fpupjea] - y[sub:3fpupjea]1[/sub:3fpupjea]) = (x - x[sub:3fpupjea]1[/sub:3fpupjea])/(x[sub:3fpupjea]2[/sub:3fpupjea] - x[sub:3fpupjea]1[/sub:3fpupjea])

\(\displaystyle \frac{y \, - |, y_1}{y_2 \, - |, y_1} \, = \, \frac{x \, - |, x_1}{x_2 \, - |, x_1}\)
 
smarshall said:
I think you posted to the wrong question

No I did not.

Did you learn about equation of straight lines?

Slope-intercept form?
 
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