B. Form An Equation To Represent Each Variation. Use K As The Constant Of V…

B. Form an equation to represent each variation. Use k as the constant of variation.
1. The kinetic energy E of an object varies jointly as the mass m of the object and the square of its velocity v.
2. The volume V of a pyramid varies jointly as the area of the base B and the altitude h.
3. The amount A of oil used by a ship traveling at a uniform speed varies jointly with the distance d and the square of the speed s.
4. The area A of a triangle varies jointly as the base band the altitude h.
5. The electrical voltage V varies jointly as the current land the resistance R.
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JOINT VARIATION

Directions: Form an equation to represent each variation. Use k as the constant of variation.

1. The kinetic energy E of an object varies jointly as the mass m of the object and the square of its velocity v.

• [tex] \underline {\boxed{ \sf{ \purple{E = km {v}^{2} }}}}[/tex]

2. The volume V of a pyramid varies jointly as the area of the base B and the altitude h.

• [tex]\underline {\boxed{ \sf{ \purple{V = kBh}}}}[/tex]

3. The amount A of oil used by a ship traveling at a uniform speed varies jointly with the distance d and the square of the speed s.

• [tex]\underline {\boxed{ \sf{ \purple{A= kd {s}^{2} }}}}[/tex]

4. The area A of a triangle varies jointly as the base b and the altitude h.

• [tex]\underline {\boxed{ \sf{ \purple{A=kbh}}}}[/tex]

5. The electrical voltage V varies jointly as the current l and the resistance R.

• [tex]\underline {\boxed{ \sf{ \purple{V=kIR}}}}[/tex]

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