Independent: the value of an automobile bought in 2006 continues to decrease as time passes. this is
called depreciation. two years after the car was bought, it was worth $17,500; four years after it was
bought, it was worth $14,800, write a linear equation to describe the relationship between value of an
automobile y after so many years x (after time of purchase). use this equation to estimate the value of
the same automobile in 2012.

So we have this data:

- After 2 years, it's worth 17500$

- After 4 years, it's worth 14800$

Let's see how much decreases per year:

4 - 2 = 2 years difference

17500 - 14800 = 2700$ difference

2700$ / 2y = 1350$/y (amount the value of the car decreases per year)

Now we find how much it was worth at the beginning, for this we add 1350$ twice (for the 2 years) to 17500 (the amount it was worth 2 years after it was bought):

17500 + 2 * 1350 = 20200$

Our equation, then:

Y = 20200 - 1350X

For 2012 (6 years after 2006, the year it was bought):

Y = 20200 - 1350 * 6 = 20200 - 8100 = 12100$

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a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: