Chapter 3.2, Problem 3TU

TEST YOUR UNDERSTADING FOR EXAMPLE 3.5

A donation to the university is required for the privilege of purchasing premium season football passes. The cost is a linear function of the number of season passes. It costs $\$8000$ to get season passes for myself and my spouse. To get passes for my entire family of $5,$ it costs $\$17,000.$ Use a formula to express the total cost $C,$ in dollars, of $n$ season passes.

EXAMPLE 3.5 CHANGING CELSIUS TO FAHRENHEIT

Temperature $F=F(C)$ in Fahrenheit is a linear function of the temperature $C$ in Celsius. A lab assistant placed a Fahrenheit thermometer beside a Celsius thermometer and observed the following: When the Celsius thermometer reads $30$ degree $(C=30),$ the Fahrenheit thermometer reads $86$ degrees $(F=86).$ When the Celsius thermometer reads $40$ degrees, the Fahrenheit thermometer reads $104$ degrees.

Part 1 Use a formula to express $F$ as a linear function of $C.$

Part 2 At sea level, water boils at $212$ degrees Fahrenheit. What temperature in degrees Celsius makes water boil?

Part 3 Explain in practical terms what the slope means in this setting.