mazy333 mazy333
  • 22-05-2018
  • Mathematics
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If y varies directly as x, what is the value of y in (4,16) and (2,y)

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Аноним Аноним
  • 30-05-2018
y varies directly with x means y = kx or y/x = k where k is the constant of variation (slope)

Using [tex] \frac{y}{x} = \frac{y}{x} [/tex] we can plug in the x and y values from the given points.

We get the following proportion:
[tex] \frac{16}{4} = \frac{y}{2} [/tex]
32 = 4y ← cross multiply
8 = y ← divide both sides by 4

ANSWER: y = 8
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