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math

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The value of a car decreases at a constant rate as it grows older. When the car is 2 years old, it is worth $23,000. When the car is 5 years old it is worth $15,500.
Write and equation relating y (value of the car $) to x (age of car).

Is it y-23,000=-2500(2)-5 ??

  • math -

    so you are looking for a linear relation in the form y = mx + b
    where you are given two points
    (2,23000) and (5,15500)
    so slope = (15500-23000)/(5-2)= 7500/3
    = -2500

    so y = -2500x + b
    sub in the first point
    23000 = -2500(2) + b
    b = 28000

    finally :
    y = -2500x + 28000

  • math -

    how did you get b= 28000

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