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Problem-Solving and Data AnalysisEasyYearly change from a line of best fit

Problem-Solving and Data Analysis practice question

For a set of used cars, the value y, in dollars, is modelled by y = 20,000 − 1,500x, where x is the car's age in years. According to the model, by how many dollars does a car's value fall each year?

  1. A. 1,500Correct
  2. B. 20,000
  3. C. 18,500
  4. D. 1,500 × 20,000

Answer: A. 1,500

The coefficient of x is the change in value per year of age.

Why the other answers are wrong

B. 20,000
20,000 is the modelled value of a new car.
C. 18,500
18,500 is the value at one year old.
D. 1,500 × 20,000
The two numbers are not multiplied.

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