11 - Partial Variation - Notes PDF

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11 - Partial Variation

MPM1D – Linear Relationships

Date: ____________________________________________

Partial Variation The following graph illustrates the total cost, C, in dollars, of a taxi fare for a distance of d kilometres.

Describe the relationship. __________________________________________________________________________ _________________________________________________________________________________________________________ _________________________________________________________________________________________________________ At what point does the relationship start? ________________________________________________________ _________________________________________________________________________________________________________ _________________________________________________________________________________________________________ By how much does the cost change or vary as the distance changes? __________________________ _________________________________________________________________________________________________________ _________________________________________________________________________________________________________

The relationship between distance and time in the above example is partial variation. We say that the cost varies partially with distance.

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11 - Partial Variation

MPM1D – Linear Relationships

Partial Variation: Its equation is  =  +  where: m is the ______________________________________________________________ b is the ______________________________________________________________ x

is the ______________________________________________________________

y

is the ______________________________________________________________

Its graph is a straight line that _______________________________ go through the origin. In the above example, what is the fixed cost?

____________________________________

In the above example, what is the variable cost?

____________________________________

Write an equation to represent the cost of riding in the taxi. ____________________________

The Ultimate Team wants to buy new team jerseys. The cost to order and deliver the jerseys is $200. There is an additional cost of $15 per jersey. a) Identify the fixed cost and the variable cost. b) Write an equation representing this relationship.

Fixed Cost

______________________

Variable Cost

______________________

____________________________________

c) Use your equation to determine the cost of ordering 30 jerseys.

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11 - Partial Variation

MPM1D – Linear Relationships

Complete the table of values below given that y varies partially with x. x

y

0

6

1

9

2 3

15

4 27 Identify the initial value of y.

_____________________

Identify the constant of variation from the completed table. _______________________ Write an equation relating x and y. ___________________________________________________

Homework Page 250 Questions C1, 1, 2, 3abc, 4, 5, 6 Use graph paper for the graphs.

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