Direct and Partial Variation There are 2 types of Equations Partial Variation Direct Variation C = (rate per item)n + (fixed amount) C= (rate per item)n or or y = mx + b * There IS a fixed amount Graphically : y = mx * There is NO fixed amount Graphically : Exercises: 1. The website 'Song Source' charges a one time membership fee of $7, then $1 per song downloaded. a) Model this with an equation : b) Does this represent Direct or Partial Variation? Explain. 2. Another website 'Music Mania' charges $1.99 per song downloaded. a) Model this with an equation : b) Does this represent Direct or Partial Variation? Explain.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Student Handout - Unit 3, Lesson 6
Direct and Partial Variation
There are 2 types of Equations
Partial Variation
Direct Variation
C = (rate per item)n + (fixed amount)
C= (rate per item)n
or
y = mx
* There is NO fixed amount
Graphically :
or
y = mx + b
There IS a fixed amount
Graphically :
Exercises:
1. The website 'Song Source' charges a one time membership fee of $7, then $1
per song downloaded.
a) Model this with an equation :
b) Does this represent Direct or Partial Variation? Explain.
2. Another website 'Music Mania' charges $1.99 per song downloaded.
a) Model this with an equation :
b) Does this represent Direct or Partial Variation? Explain.
Transcribed Image Text:Student Handout - Unit 3, Lesson 6 Direct and Partial Variation There are 2 types of Equations Partial Variation Direct Variation C = (rate per item)n + (fixed amount) C= (rate per item)n or y = mx * There is NO fixed amount Graphically : or y = mx + b There IS a fixed amount Graphically : Exercises: 1. The website 'Song Source' charges a one time membership fee of $7, then $1 per song downloaded. a) Model this with an equation : b) Does this represent Direct or Partial Variation? Explain. 2. Another website 'Music Mania' charges $1.99 per song downloaded. a) Model this with an equation : b) Does this represent Direct or Partial Variation? Explain.
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