Principles of Mathematics - MPM1DP

Unit 3: Linear Relations

Activity 10: Applying Direct and Partial Variation

Content

Solve and Get Involved

In the last activity, we looked at the costs of the fundraising dinner put on by the Social justice Club. The relation was modelled using the equation C = 425 +18n C represents the cost and n represents the number of people coming to the dinner.

Now, Parent Council needs to figure out what to charge for dinner tickets. A graph is used to see if charging $25 a person is sufficient. This can be represented by the equation:

T = 25n

T represents the money raised from ticket sales and n represents the number of people coming to the dinner.

The point where the two lines intersect is the point where the cost of the dinner equals the money raised from ticket sales.

Questions

1. What is the minimum number of tickets that must be sold so that Parent Council does not lose any money?

   Answer

2. How much money could be donated if Parent Council sold 100 tickets? 350 tickets?

   Answer

3. The hall will hold 375 people. If Parent Council raises the ticket price to $30 a person, how much money could be donated?

   Answer

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