If we know the temperature in degrees Celsius, , we can find the temperature in degrees Fahrenheit, , using the equation:

1. Complete the table with temperatures in degrees Fahrenheit or degrees Celsius.

   	0	100	25
   				104	50	62.6

2. The equation represents a function. Write an equation to represent the inverse function. Be prepared to explain your reasoning.

3. The equation defines the temperature in degrees Rankine as a function of the temperature in degrees Celsius. 

   Show that the equation defines the inverse of that function.

Your teacher will give you either a problem card or a data card. Do not show or read your card to your partner.

At a party, hexagonal tables are placed side by side along one side, as shown here.

1. Explain why the equation represents the number of seats, , as a function of the number of tables, .
2. What domain and range make sense for this function?
3. Write an equation to represent the inverse of the given function. Explain what this inverse function tells us.

4. How many tables are needed if the following number of people are attending the party? Be prepared to explain your reasoning.

   1. 94 people
   2. 95 people
5. What domain makes sense for the inverse function? Is it the same set of values as the range of the original function? Explain your reasoning.