Projects

Order a 12-month Year 7 Interactive Maths software Homework Licence for only $19.95.

Order a 12-month Year 8 Interactive Maths software Homework Licence for only $19.95.

Order a 12-month Year 9 Interactive Maths software Homework Licence for only $19.95.

Order a 12-month Year 10 Interactive Maths software Homework Licence for only $19.95.

Year 9 Interactive Maths - Second Edition

Projects

Project 12.1 Maximum Levy

A mathematics coordinator decided to charge each student a $1 levy for entry into the Australian Mathematics Competition. At this cost, approximately 50 students expressed interest. The coordinator found that for every 20 cents increase in the levy, two less students will enter the competition.

The coordinator will set the entry fee to maximise the levy received.

1. Complete the following table given below by following the pattern to get the next entry.

2. Plot a graph of y (i.e. total levy) against x (i.e. the number of candidates).

3. Use the table and/or graph to find:

the maximum levy collected
the number of students who entered the competition
the number of 20¢ levy increases required to get the maximum levy
the fee charged per student to obtain the maximum levy.

Please read the Terms and Conditions of Use of this Website and our Privacy and Other Policies.
If you experience difficulties when using this Website, tell us through the feedback form or by phoning the contact telephone number.