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Semmy [17]
3 years ago
13

Personal income (in 1998 dollars) in one state increased approx linearly from $20,808 in 1998 to $22,395 in 2003. personal incom

e (in 1998 dollars) in the other state increased approx linearly from $26,155 in 1998 to $26,508 in 2003.
a) let f(t) be personal income (in 1998 dollars) in one state and g(t) be personal income (in 1998 dollars) in the other state, both in the year that is t years since 1998.Find the equation of f and g.
Mathematics
1 answer:
pav-90 [236]3 years ago
5 0
 You're given two points for f(t) and g(t) each. Two points, (x1,y1), and (x2,y2). In this case, x1 is always x1=0, since the time t starts counting at the earliest year given. We know the form y=mx+b. m can be found a la (y2-y1)/(x2-x1), but remember x1 is 0. b can be found at f(0) or g(0), which we're already given; y1 for both cases. I'm sorry, but I'm not giving a direct answer. Knowing the method, and being careful with calculations, should be more than sufficient.<span>it would be 22395-20808/5=317.4 f(t) 26508-26155/5= 70.6 
</span>

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Step-by-step explanation:

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<span>I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.</span>

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Since the two equations equal y, set them equal to each other.

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From there, solve for x.

First get x on one side, by using the addition property of equality.

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Lastly get x all by itself by dividing each side by 3.
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You can now substitute your x-value, 2, into one of the equations (or both, if you wish; either one will result in the same answer.)

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