Question 118706: In 1980 the average price of a home in Brainerd County was $100,000. By 1986 the average price of a home was $112.00[112,000].
Write a linear model for the price of a home,p,in Brainerd County in terms of the year,t. let t=0 correspond to 1980.
[a] p =12,00t+100,000
[b] p=2,000t=112,000
[c] P=-2,000t=100,000
[d] P=2,000t+100,000
I think the answer is b or c but im not quite sure I take really good notes in class but I dont have this kind of problem in my note book.
thanks alot.
Answer by m.hansen(16)   (Show Source):
You can put this solution on YOUR website! if 1980 -> t=0 then, 1986 -> t=6 (six years later).
The two points are (t,price) -> (0,100000) and (6, 112000)
we want an equation in the form y=mx+b,
the y-intercept(b) is the y(P in this problem) value when x(t in this problem) is 0: so b=100000
m is the slope: m={{y2-y1}/{x2-x1}}={{t2 - t1}/{P2 - P1}}
so m = {{112000-100000}/{6-0}} = 2000
so y = 2000x + 100000
or P = 2000x + 100000 and the answer is C.
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