Page 36 - Math 9-10 (2009)

PRINCIPLES OF MATHEMATICS, GRADE 9, ACADEMIC (MPM1D) 35
– identify and explain any restrictions on the variables in a linear relation arising from a realistic situation (e.g., in the rela- tion C = 50 + 25n, C is the cost of hold- ing a party in a hall and n is the number of guests; n is restricted to whole numbers of 100 or less, because of the size of the hall, and C is consequently restricted to $50 to $2550);
– determine graphically the point of inter- section of two linear relations, and inter- pret the intersection point in the context of an application (Sample problem: A video rental company has two monthly plans. Plan A charges a flat fee of $30 for unlimited rentals; Plan B charges $9, plus $3 per video. Use a graphical model to determine the conditions under which you should choose Plan A or Plan B.).
points) (Sample problem: Compare the equations of the lines parallel to and per- pendicular to y = 2x – 4, and with the same x-intercept as 3x – 4y = 12.Verify using dynamic geometry software.);
– describe the meaning of the slope and y-intercept for a linear relation arising from a realistic situation (e.g., the cost to rent the community gym is $40 per evening, plus $2 per person for equipment rental; the vertical intercept, 40, represents the $40 cost of renting the gym; the value of the rate of change, 2, represents the $2 cost per person), and describe a situation that could be modelled by a given linear equation (e.g., the linear equation
M = 50 + 6d could model the mass of a shipping package, including 50 g for the packaging material, plus 6 g per flyer added to the package);