SOLUTION: The value of a certain car decreases at the rate of 300 dollars each month after being purchased new. Suppose that the car is worth 17,000 when it is 2 years old. a

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Question 198154: The value of a certain car decreases at the rate of 300 dollars each month after being purchased new. Suppose that the car is worth 17,000 when it is 2 years old.
a. Determine a linear function on the axes provided. Label appropiately
c. Use this model to determine the value of the car after 4 years.
d. Determine how long after purchase the car's value will be half of its selling price.
Answer by arallie(162) About Me  (Show Source):
You can put this solution on YOUR website!

+graph%28+300%2C+200%2C+0%2C+50%2C+0%2C+25000%2C+-300x%2B24200%29+
y=-300x+24200
"y"= value of car at month "x"
"x"= months after purchase
ie:
The value of a certain car decreases at the rate of 300 dollars each month after being purchased new. Suppose that the car is worth 17,000 when it is 2 years old.
17000=? -300(24)+24200
17000=? -7200+24200
17000= 17000

Determine the value of the car after 4 years.
y=-300(48)+24200
y=-14400+24200
y=9800

Determine how long after purchase the car's value will be half of its selling price.
By changing the formula slightly we can determine the answer easily.
We will already know the final answer, half of the original value 12100.
12100=-300x+24200
-12100=-300x
40 1/3=x
3 years, 4 months, 10 days approx.