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The Picture and Sound electronics store has hired Kiara to work in the
warehouse. She uses a pulley with a hand crank to lift heavy boxes. There is a
proportional relationship between the number of times Kiara turns the crank to
lift a box, x, and the height the box has been lifted (in feet), y.
She turns the crank 4 times to lift a box 3 feet. Write the equation for the relationship
between x and y.
Y-

Respuesta :

sqdancefan

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Answer:

  y = 3/4x

Step-by-step explanation:

The equation of a proportional relation is ...

  y = kx

The value of k can be found by dividing by x:

  y/x = k

For the given values, we find k to be ...

  k = y/x = (3 ft)/(4 turns) = 3/4 ft/turn

The relationship can be written ...

  y = 3/4x