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2 January, 12:28

1. y varies inversely with x. If y = 3 and k (the constant of variation) = 33, what is x?

Round to the nearest whole number, if necessary.

2. y varies inversely with x, and k (the constant of variation) = 5.6. What is the value of y when x = 4?

Round to the nearest tenth, if necessary.

3. y varies inversely with x. If y = 17 and k (the constant of variation) = 76, what is x?

Round to the nearest tenth, if necessary.

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Answers (1)
  1. 2 January, 12:36
    0
    Step-by-step explanation:

    1) y varies inversely with x. If y = 3 and k (the constant of variation) = 33

    If y varies inversely with x, then as y increases increases, x reduces and as y reduces, x increases.

    y varies inversely with x

    Introducing constant of inverse variation, k

    y = k/x

    If y = 3 and k (the constant of variation) = 33,

    x = k / y = 33/3

    = 11

    2) y varies inversely with x, and k (the constant of variation) = 5.6. What is the value of y when x = 4

    y = k/x

    y = 5.6/4 = 1.4

    3) y varies inversely with x. If y = 17 and k (the constant of variation) = 76

    y = k / x

    x = k / y = 76/17 = 4.4705

    = 4.5 to the nearest tenth
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