SOLUTION: Hello, I am having problems trying to convert a real-life situation and create an equation or inequality that could be used for analysis, prediction, or decision making. I have to

Algebra ->  Graphs -> SOLUTION: Hello, I am having problems trying to convert a real-life situation and create an equation or inequality that could be used for analysis, prediction, or decision making. I have to       Log On


   



Question 103026: Hello, I am having problems trying to convert a real-life situation and create an equation or inequality that could be used for analysis, prediction, or decision making. I have to draw a graph to depict the variables in my situation. Lastly, I have to use my graph and what I know about linear inequalities to discuss the significance of my findings. The situation that I have created so far is the following:
"Last year, I had bought a brand new ‘06’ Pontiac Vibe. Now as time goes by, the selling price for my car decreases in value as it becomes older. In this situation, the equation of the selling price is y = -Ax + B, the B represents the minimum price at which I would sell my car and A is the slope of increment. Since the selling price decreases in value within each passing year, the slope appears with a negative sign. The negative slope indicates the amount by which the selling price decreases per year."
I don't have exact figures, I was just going to make up the figures. I have the scenario, but now I don't know what to do from here. Please Help, Thank You so much!!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I have to draw a graph to depict the variables in my situation. Lastly, I have to use my graph and what I know about linear inequalities to discuss the significance of my findings. The situation that I have created so far is the following:
"Last year, I had bought a brand new ‘06’ Pontiac Vibe. Now as time goes by, the selling price for my car decreases in value as it becomes older. In this situation, the equation of the selling price is y = -Ax + B, the B represents the minimum price at which I would sell my car and A is the slope of increment. Since the selling price decreases in value within each passing year, the slope appears with a negative sign. The negative slope indicates the amount by which the selling price decreases per year."
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B is not the minimum price; B is the current value of the car; it is the
value of the car when x=0 and x=0 means NOW.
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If you think the car is now worth 10000 let B = 10000.
If you think the car decreases in value by $400 each year
let A = 400
Then you get y = -400x + 10000 where y is the value of
the car x years from now.
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You can graph the equation by plotting two points, like (0,1000)
and (2,9200) and drawing a line thru them.
graph%28400%2C300%2C-5%2C30%2C-5%2C+10000%2C-400x%2B10000%29
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Cheers,
Stan H.