Chapter 1
Relationships





WeBWorK1.2 Mathematical Models

Exercises

For each of the relationships in Exercises 1 – 16, identify the two quantities that vary, and decide which should be represented by an independent variable and which by a dependent variable.

  1. The height of a baseball after being hit into the air.
  2. The speed of an egg dropped from the tenth floor of a building.
  3. The height of an individual as he or she ages.
  4. The amount of time it takes a person to run a mile as he or she ages.
  5. The amount of money in a savings account over an extended period of time.
  6. The size of a person's vocabulary from birth onwards.
  7. The number of bacteria in a laboratory culture over a period of time.
  8. The daily high temperature at your local airport over a calendar year.
  9. The number of students absent from class and the day of the academic year.
  10. The temperature of an ice-cold drink left in a warm room over a period of time.
  11. The number of hours of daylight and the day of the year.
  12. The cost of a pizza and the diameter of the pizza.
  13. A safe following distance for your car at a given speed.
  14. Ideal weight at a given height, as represented by a chart in your doctor's office.
  15. The income tax on a given taxable income.
  16. The sales tax on a given purchase.
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