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Research Proj

Module by: Dees Moodley. E-mail the author

NAME : ____________________ GRADE : ______

MARKS : 30 DUE DATE : 20/05/09

MATHEMATICAL LITERACY

GRADE 11

ASSIGNMENT – GRAPHS

Rylans DVD Hire , has a special deal for the Christmas season :

MEMBERS : to become a member , you have to pay an annual

Membership fee of R80 and R15 for every DVD

hired.

NON-MEMBERS: all you pay is R25 for every DVD hired.

  1. Which kind of person would prefer to be a member. Give a reason for your

answer. (2) _______________________________________________

___________________________________________________________

___________________________________________________________

___________________________________________________________

  1. What would a person pay if he became a member and also decided to hire

five DVD’s on the day that he joined. (2)

___________________________________________________________

___________________________________________________________

___________________________________________________________

  1. If C = total cost and n = number of DVD’s hired , complete the following

Equations :

MEMBER : C = 80 + …………

NON_MEMBER : C = ……….. (4)

A person has a budget of R500 for hiring DVD’s for the year ,

  • how many DVD’s can he hire if he became a member. (3)

____________________________________________

____________________________________________

____________________________________________

  • how many DVD’s can a non-member hire with R500. (2)

____________________________________________

____________________________________________

____________________________________________

  • Which is a better option . Give a reason for your answer. (2)

_____________________________________________

_____________________________________________

_____________________________________________

  1. Complete the following table based on the information given: (5)
Table 1
n=DVD’s hired 0 1 2 3 4 5 6 7 8 9 10 11 12
C=cost - non-member 0         125              
C=cost - member 80                 215      
  1. Use the above table to draw suitable graphs that will show the cost of

hiring DVD’s for both members and non-members on the same system

of axes. (6)

  1. Use your graph to determine for how many DVD’s will it be more beneficial

to be a non-member than a member. Give a reason for your answer. (2)

_______________________________________________________

________________________________________________________

________________________________________________________

  1. Use your graph to determine the number of DVD’s that will result in the total

cost for being a non-member or a member reaching a break even point. (2)

_________________________________________________________

_________________________________________________________

_________________________________________________________

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