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using k as the constant of variation translate each statement into mathematical equation
1. the current c varies jointly as the electromotive force e and the resistance r .
2. The acceleration a of an object varies directly as the force f exerted and inversely as it's mass m
3.The stiffness s of a beam varies directly as it's depth d and inversely as the square of the length l
4. The time t required for an elevator to lift a weight varies jointly with the distance d through which it is to be lifted and the square of power p of the motor
5.The force f of attraction between two bodies varies directly as their weights w and inversely as the cube of the distance d between them ​

Sagot :

JindyWinteridn

[tex] \color{blue} \overbrace{ \underbrace{ \color{aqua}{ \sf{Directions : }}}}[/tex]

using k as the constant of variation translate each statement into mathematical equation

[tex] \\ [/tex]

1. the current c varies jointly as the electromotive force e and the resistance r .

  • [tex] \color{red} \boxed{ \tt{c = ker}}[/tex]

2. The acceleration a of an object varies directly as the force f exerted and inversely as it's mass m

  • [tex] \color{orange} \boxed{ \tt{a = \frac{kf}{m} }}[/tex]

3.The stiffness s of a beam varies directly as it's depth d and inversely as the square of the length l

  • [tex] \color{yellow} \boxed{ \tt{s = \frac{kd}{ {l}^{2} } }}[/tex]

4. The time t required for an elevator to lift a weight varies jointly with the distance d through which it is to be lifted and the square of power p of the motor

  • [tex] \color{lime} \boxed{ \tt{t = kdp}}[/tex]

5.The force f of attraction between two bodies varies directly as their weights w and inversely as the cube of the distance d between them

  • [tex] \color{aqua} \boxed{ \tt{f = \frac{kw}{ {d}^{3} } }}[/tex]
Avcerelidn

VARIATIONS

Direction: Using k as the constant of variation translate each statement into mathematical equation

1.) The current (c) varies jointly as the electromotive force (e) and the resistance (r).

  • [tex] \underline{ \boxed{ \blue{ \tt c=ker}}}[/tex]

2.) The acceleration (a) of an object varies directly as the force (f) exerted and inversely as it's mass (m)

  • [tex] \underline{ \boxed{ \blue{ \tt a= \frac{kf}{m} }}}[/tex]

3.) The stiffness (s) of a beam varies directly as it's depth (d) and inversely as the square of the length (l)

  • [tex] \underline{ \boxed{ \blue{ \tt s= \frac{kd}{ {l}^{2} } }}}[/tex]

4.) The time (t) required for an elevator to lift a weight varies jointly with the distance (d) through which it is to be lifted and the square of power (p) of the motor

  • [tex] \underline{ \boxed{ \blue{ \tt t=kdp²}}}[/tex]

5.)The force (f) of attraction between two bodies varies directly as their weights (w) and inversely as the cube of the distance (d) between them

  • [tex] \underline{ \boxed{ \blue{ \tt f= \frac{kw}{ {d}^{3} } }}}[/tex]

- In variations, k is the constant proportionality or constant of variations.

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