MPM 1D1 DIRECT AND PARTIAL VARIATION REVIEW

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MPM 1D1

DIRECT AND PARTIAL VARIATION REVIEW – HOMEWORK

1.

There is $500 in Bronwyn’s bank account. She takes out $50 from her account each month but doesn’t put any back in. a) Make a table of values for up to 6 months. b) Graph the relationship.

600

500

400

300

200

Balance vs. Number of Months

100

2 4 6 8

Number of Months

c) Write an equation to model the relationship. Remember to define your variables.

10 12

____ = ______________ d) Does this relation represent a partial or direct variation? Explain. e) How much will Bronwyn have in her account after 8 months? Show your work. f) How many months will have passed when Bronwyn has $50 in her account?

Show your work.

14

2. Michael is just learning how to snowboard. White Mountain charges $10/hour for lessons and $40 for the lift ticket and snowboard rental. a) Make a table of values for up to 6 hours. b) Graph the relationship.

150

100

100

2 4 6 c) Write an equation to model the relationship.

___ = _________________ d) Does this relation represent a partial or direct variation? Explain.

8 10 12 14 e) How much will it cost in total for Michael to take 2.5 hours of lessons?

Show your work. f) If Michael paid $75, how long was he at the White Mountain getting lessons?

Show your work or explain how you got your answer.

3.

Write the equation for the following examples: a) A family meal deal at Chicken Deluxe costs $26, plus $1.50 for every extra piece of chicken added to the bucket.

Base Fee=

____________________________________________

Unit Rate (Slope)=

_______________________________________

 Equation is

_________________________________________

Direct or partial variation?

_________________________________

b) A race car travels at a constant speed of 220km/h. Write an equation for the total distance travelled over time.

Base Fee =

____________________________________________

Unit Rate (Slope)=

______________________________________

Equation is

_________________________________________

Direct or partial variation?

_________________________________

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