k Notes Over 4.5 Writing a Direct Variation Equation Writing a Direct Variation Equation In Exercises 1-6, the variable x and y vary directly. Use the given values to write an equation that relates x and y. y kx k 15 5 Direct Variatio n Two quantities that model the equation y = kx, where k is the constant of variation x x y x 1 3 15 . , x y 3 y 5 x
Notes Over 4.5. Writing a Direct Variation Equation. Direct Variation. Two quantities that model the equation y = kx , where k is the constant of variation. In Exercises 1-6, the variable x and y vary directly. Use the given values to write an equation that relates x and y. - PowerPoint PPT Presentation
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k
Notes Over 4.5Writing a Direct Variation EquationWriting a Direct Variation Equation
In Exercises 1-6, the variable x and y vary directly. Use the given values to write an equation that relates x and y.
y kx
k
15 5
Direct Variation
Two quantities that model the equation y = kx, where k is the constant of variation
x x
y
x
1 3 15. , x y
3
y 5x
k
Notes Over 4.5Writing a Direct Variation EquationWriting a Direct Variation Equation
In Exercises 1-6, the variable x and y vary directly. Use the given values to write an equation that relates x and y.
y kx
k
3 1
2
Direct Variation
Two quantities that model the equation y = kx, where k is the constant of variation
x x
y
x
2 6 3. , x y
6
y 1
2x
k
Notes Over 4.5Writing a Direct Variation EquationWriting a Direct Variation Equation
In Exercises 1-6, the variable x and y vary directly. Use the given values to write an equation that relates x and y.
y kx
k
4 1
Direct Variation
Two quantities that model the equation y = kx, where k is the constant of variation
x x
y
x
3 4 4. , x y
4
y x
k
Notes Over 4.5Writing a Direct Variation EquationWriting a Direct Variation Equation
In Exercises 1-6, the variable x and y vary directly. Use the given values to write an equation that relates x and y.
y kx
k
2 1
5
Direct Variation
Two quantities that model the equation y = kx, where k is the constant of variation
x x
y
x
4 10 2. , x y
10
y 1
5x
k
Notes Over 4.5Writing a Direct Variation EquationWriting a Direct Variation Equation
In Exercises 1-6, the variable x and y vary directly. Use the given values to write an equation that relates x and y.
y kx
k
7 2
Direct Variation
Two quantities that model the equation y = kx, where k is the constant of variation
x x
y
x
5 35 7. . , x y
35.
y 2x
k
Notes Over 4.5Writing a Direct Variation EquationWriting a Direct Variation Equation
In Exercises 1-6, the variable x and y vary directly. Use the given values to write an equation that relates x and y.
y kx
k
4 1
3
Direct Variation
Two quantities that model the equation y = kx, where k is the constant of variation
x x
y
x
6 12 4. , x y
12
y 1
3x
Notes Over 4.5Using a Ratio to Write a ModelUsing a Ratio to Write a Model
E M150
57120
150
57
5M
The person’s weight on Mars would be pounds. 45
3
5
7. Use the ratio model to estimate a
person’s weight on Mars if the person weighs 120
pounds on Earth.
E M150
57
150
57
228
5
4
Notes Over 4.5Using a Ratio to Write a ModelUsing a Ratio to Write a Model
E M150
5762
9300
57The person’s weight on Earth would
be 163.2 pounds.
8. Use the ratio model to estimate a
person’s weight on Earth if the person weighs 62
pounds on Mars.
E M150
57
E
Notes Over 4.5Using a Ratio to Write a ModelUsing a Ratio to Write a Model
E V160
139
9. A person who weighs 160 pounds on Earth weighs 139 pounds on Venus.
a. Write a model that relates a person’s weight E on Earth to that person’s weight V on Venus.
E kV
k
V V
E
V160139
Notes Over 4.5Using a Ratio to Write a ModelUsing a Ratio to Write a Model
E V160
139
9. A person who weighs 160 pounds on Earth weighs 139 pounds on Venus.
b. A person weighs 195 pounds on Earth. Use the model to estimate that person’s weight on Venus.