MPM 1D1 – Unit Three: Linear and Non-linear Relationships
Direct and Partial Variation Homework – “Choiceboard”
Choose 7 of the following questions to answer. Make sure your solutions are complete. Draw and label the
graphs appropriately when necessary.
Tom earns $12.00 per hour as a lifeguard at
a wave pool. Determine Tom’s wages if he
works for 0, 5, 10 and 15 hours.
- Identify the independent and
dependent variables
- Determine an equation
- Complete a table of values
- Graph the relation
- Is this a direct or partial variation?
There is a fixed cost of $500.00 to write and
design an advertising flyer. It costs $0.15 to
print a flyer. How much would it cost to
write, design and print 0, 10000, 20000, and
50000 flyers?
- Identify the independent and
dependent variables
- Determine an equation
- Complete a table of values
- Graph the relation
- Is this a direct or partial variation?
Create your own situation that can be
described using a PARTIAL variation and
provide a solution. Make sure you identify
the independent and dependent variables,
determine an equation, complete a table of
values and graph the relation.
To run an advertisement on the radio during
rush hour, a radio station charges a fixed
cost of $400.00 plus an additional cost of
$200 for each day the ad is run. How much
would it cost to run the ad for 0, 5, 10 and
15 days?
- Identify the independent and
dependent variables
- Determine an equation
- Complete a table of values
- Graph the relation
- Is this a direct or partial variation?
Create your own situation that can be
described using a DIRECT variation and
provide a solution. Make sure you identify
the independent and dependent variables,
determine an equation, complete a table of
values and graph the relation.
To join Body Works Gym, there is an initial
fee of $550.00 plus an additional $35.00 fee
per month. How much would it cost for 0, 2,
4, 6 month membership?
- Identify the independent and
dependent variables
- Determine an equation
- Complete a table of values
- Graph the relation
- Is this a direct or partial variation?
In your own words describe the difference
between a direct and partial variation. Be
sure to include mathematical terminology in
your description and provide an example for
each type of variation.
Jason draws humorous portraits at a local
fair. He charges $6.00 per portrait. How
much money does Jason make if he draws
0, 4, 8, and 12 portraits?
- Identify the independent and
dependent variables
- Determine an equation
- Complete a table of values
- Graph the relation
- Is this a direct or partial variation?
A tortoise can walk at a speed of 4 meters
per minute. How far will the tortoise get if it
walks for 0, 2, 4, and 6 minutes?
- Identify the independent and
dependent variables
- Determine an equation
- Complete a table of values
- Graph the relation
- Is this a direct or partial variation?
MPM 1D1 – Unit Three: Linear and Non-linear Relationships