MPM1DG
Partial and Direct Variation
Date: _______
A health club offers two types of monthly memberships:
DROP- IN :$3 per visit
MEMBERS ONLY: a flat fee of $8 plus $2 per visit
a) Create an equation that represents the cost (C) per number of visits (n)
DROP- IN:
MEMBERS ONLY:
b) Create a table of values that represents the cost C per n visits.
n
0
1
2
3
4
5
6
7
8
9
10
11
DROP- IN
C
MEMBERS ONLY
n
C
0
1
2
3
4
5
6
7
8
9
10
11
c) Graph each of the scenarios on the following grid:
Dependent Variable:
________________
Independent Variable:
________________
d) Which health club membership would you choose? Explain.
Partial and Direct Variation
Direct Variation
Partial Variation
Ex. 1 A taxi ride costs $5.00 plus 40 cents per km.
a) Is this a partial or direct variation? Explain.
b) Write an equation for this relationship.
c) Determine how much a 15km trip will take.
Ex. 2 Kenta bikes from his home to school. The 4km trip took 15 minutes.
The distance, d, in km, varies directly with the time, t, in minutes.
a) Determine the constant of variation. What does this constant of variation represent?
b) Determine an equation relating d and t.
c) If Kenta biked at the same speed, how long would it take him to get to the library
downtown 9km away?