Word Problem

plac6636

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Aug 29, 2005
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19
Can someone help me with this word problem:
The median price of a single-family home from 1980 to 1990 can be approximated by P(x)=3421x+61,000 where x=0 corresponds to 1980 and x=10 to 1990.
(a) Interpret the slope of the graph of P. (I get that the slope represents and average increase of $3,421 every ten years...)
(b) Estimate the years when the median price range was from $71,000 to $88,000.
So I understand this would be in equality equation, but I don't know where to start.
HELP!!!!!!!
 
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increase of $3,421 every ten years
should read
increase of $3,421 each year

You want to solve
71000< P(x) < 88000
 
so it would look like:
71,000<3421x+61,000<88,000 (i know they're supposed to be "or equal to" but I don't know how to put that line under there)
then subtract 61,000 to get:
10,000<3421x<27,000
then divide by 3,421 to get:
2.923<x<7.892
Right????
Then how do you figure out the years?
1982 to 1987?
 
Good job.
Depends on what they mean by "estimate the years".
Since 1982.9 is almost 1983 and
1987.9 is almost 1988 I would "estimate" 1983 to 1988.
Or you could do Oct 1982 to Oct 1987
 
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