UNIT 3 – LINEAR RELATIONS ASSIGNMENT
NAME: DATE:

Using the chart paper given to you, solve both problems.

PROBLEM #1
A theatre company produced the musical Cats. The company had to pay $325 per performance. The same theatre company also presented the musical production of Fame in the same year. For the production of Fame, they had to pay $250 per performance.

a) Determine your variables for these relationships and identify the Independent Variable and the Dependent Variable.
b) Write an equation that relates the total royalties and the number of performances for each musical.
c) Graph the two relations on the same grid.
d) When does the company pay the same for the two productions.
e) Are these relationships an example of Partial Variation or Direct Variation? Justify your reasoning.

PROBLEM #2
A theatre company produced the musical Wicked. The company had to pay a royalty fee of $1250 plus $325 per performance. The same theatre company also presented the musical production of The Wizard of Oz in the same year. For the production of The Wizard of Oz, they had to pay a royalty fee of $1400 plus $250 per performance.

a) Determine the variables for these relationships and identify the Independent Variable and the Dependent Variable.
b) Write an equation that relates the total royalties and the number of performances for each musical.
c) Graph the two relations on the same grid.
d) When does the company pay the same total royalties fee for the two