GENERAL MATHS FURTHER
APPLICATION TASK on LINEAR EQUATIONS*
Laura has been offered two part-time Saturday morning jobs, and she has to decide which one to accept. Both jobs involve standing in front of a florist shop selling cut flowers. The main difference between the jobs is the way in which Laura will be paid.
At the ‘Poise and Ivy’ florist shop she will be paid $16 every Saturday morning, plus a bonus of $1.20 for each bunch of flowers she sells.
At ‘The Friendly Triffid’ she will be paid $32 every Saturday morning, plus a bonus of 40c for each bunch of flowers she sells.
1. Using these variables (w) to represent her wage and the (n) number of bunches of flowers sold, express the given information as two equations. (2 marks)
2. Solve the two equations simultaneously to find the how many bunches of flowers (n) Laura would need to sell so that she made the same amount of money whichever job she accepted?
(2 marks)
3. How much money (w) would Laura make if she did sell this many bunches of flowers as above?
(1 mark)
4. Fill in the following tables of values to help illustrate the situations for both florist shops. Use increments of 5. (4 marks)
Poise and Ivy
n / 0 / 5w
The Friendly Triffid
n / 0 / 5w
5. If Laura sold 32 bunches of flowers, at which florist shop would she make more money? Justify your answer. (2 marks)
6. To sketch these two equations which variable (w) or (n) is plotted on the X-axis? Why?
(2 marks)
7. Sketch the two situations on the set of axes provided below.
(6 marks)
8. Which job offer should Laura accept and why? What information (table of values, graphs, equations) or other factors should she take into account in making her decision? (4 marks)
Laura is now offered a third option of employment. The ‘Dodgy Daffodil’ will pay her $20 for working each Saturday morning, plus 80c for each bunch of flowers she sells.
Construct an equation for her wages at this florist shop. (1 mark)
9. Which of the three florist shops should she decide to work at if she estimated she would sell:
a) 20 bunches b) 32 bunches c) 40 bunches
Show your working to justify your answer. (4 marks)
GENERAL MATHS FURTHER
APPLICATION TASK on LINEAR EQUATIONS
Laura has been offered two part-time Saturday morning jobs, and she has to decide which one to accept. Both jobs involve standing in front of a florist shop selling cut flowers. The main difference between the jobs is the way in which Laura will be paid.
At the ‘Poise and Ivy’ florist shop she will be paid $16 every Saturday morning, plus a bonus of $1.10 for each bunch of flowers she sells.
At ‘The Friendly Triffid’ she will be paid $34 every Saturday morning, plus a bonus of 50c for each bunch of flowers she sells.
1. Using these variables (w) to represent her wage and the (n) number of bunches of flowers sold, express the given information as two equations. (2 marks)
2. Solve the two equations simultaneously to find the how many bunches of flowers (n) Laura would need to sell so that she made the same amount of money whichever job she accepted?
(2 marks)
3. How much money (w) would Laura make if she did sell this many bunches of flowers as above?
(1 mark)
4. Fill in the following tables of values to help illustrate the situations for both florist shops. Use increments of 5. (4 marks)
Poise and Ivy
n / 0 / 5w
The Friendly Triffid
n / 0 / 5w
5. If Laura sold 32 bunches of flowers, at which florist shop would she make more money? Justify your answer. (2 marks)
6. To sketch these two equations which variable (w) or (n) is plotted on the X-axis? Why?
(2 marks)
7. Sketch the two situations on the set of axes provided below.
(6 marks)
8. Which job offer should Laura accept and why? What information (table of values, graphs, equations) or other factors should she take into account in making her decision? (4 marks)
Laura is now offered a third option of employment. The ‘Dodgy Daffodil’ will pay her $26 for working each Saturday morning, plus 80c for each bunch of flowers she sells.
9. Construct an equation for her wages at this florist shop. (1 mark)
10. Which of the three florist shops should she decide to work at if she estimated she would sell:
a) 20 bunches b) 32 bunches c) 40 bunches
Show your working to justify your answer. (4 marks)