Chapter 1
Relationships
1.2 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.
- The height of a baseball after being hit into the air.
- The speed of an egg dropped from the tenth floor of a building.
- The height of an individual as he or she ages.
- The amount of time it takes a person to run a mile as he or she ages.
- The amount of money in a savings account over an extended period of time.
- The size of a person's vocabulary from birth onwards.
- The number of bacteria in a laboratory culture over a period of time.
- The daily high temperature at your local airport over a calendar year.
- The number of students absent from class and the day of the academic year.
- The temperature of an ice-cold drink left in a warm room over a period of time.
- The number of hours of daylight and the day of the year.
- The cost of a pizza and the diameter of the pizza.
- A safe following distance for your car at a given speed.
- Ideal weight at a given height, as represented by a chart in your doctor's office.
- The income tax on a given taxable income.
- The sales tax on a given purchase.