Direct Variation
January 3, 2012
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Guidelines and tips
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Direct Variation: Identifying, Writing, and Graphing, Lecture notes of Calculus
The constant of variation is 21. Identifying Direct Variations from Equations. SWBAT: Identify, write, and graph direct variation. 1) ...
Typology: Lecture notes
2022/2023
1 / 16
This page cannot be seen from the preview
Don't miss anything!
Related documents
Partial preview of the text
Download Direct Variation: Identifying, Writing, and Graphing and more Lecture notes Calculus in PDF only on Docsity!
Direct Variation
January 3, 2012
= (^) m = 3
r = 11
1) y = 21x
This equation represents a direct variation
because it is in the form of y = kx. The
constant of variation is 21.
Identifying Direct Variations from Equations
1)Tell whether the equation represents a direct variation. If so, identify the constant of variation.
YES!
k = 21
- 4 x + 3 y = 0 Solve the equation for y. +4 x + 4 x 3 y = 4 x
This equation represents a direct variation because it is in the form of y = kx.
Identifying Direct Variations from Equations
- Tell whether the equation represents a direct variation. If so, identify the constant of variation.
Yes!
3 x + 0 = 15y (^) Solve the equation for y.
This equation represents a direct variation because it is in the form of y = kx.
Identifying Direct Variations from Equations
- Tell whether the equation represents a direct variation. If so, identify the constant of variation.
Yes!
3 x = 15y (^15 )
5) Tell whether the relationship is a direct variation. Explain.
Method: Find for each ordered pair.
YES!
K = 3
…
6) Tell whether the relationship is a direct variation. Explain.
Method: Find for each ordered pair.
NO!
- The value of y varies directly with x , and y = 3 when x = 9. Find y when x = 21.
Method : Use a proportion.
9 y = 63
y = 7
In a direct variation is the same for all values of x and y.
Use cross products.
Since y is multiplied by 9 divide both sides by 9.
Method : Use a proportion.
0.5 y = 45
y = 90
In a direct variation is the same for all values of x and y.
Use cross products.
Since y is multiplied by 0.5 divide both sides by 0.5.
- The value of y varies directly with x , and
y = 4.5 when x = 0.5. Find y when x = 10.