Question

The monthly cost of owning a car depends on the number of kilometers it is driver....

The monthly cost of owning a car depends on the number of kilometers it is driver. Taylor found that in May it cost her $500 to drive 800 km and it June it cost her $650 to drive 1400 km.

  1. Express the monthly Cost C as a function of the distance driven d, assuming that a linear function is a suitable model.
  2. Use this function to predict the cost of driving 2000 km per month.
  3. Find the derivative of the function with appropriate units. What does the derivative of the function represent?
  4. Does it cost more to drive the car in December than it does in August? Explain.

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