If p is inversely proportional to the square of q, and p is 25 when q is 3, determine p when q is equal to 5.

Question

If p is inversely proportional to the square of q, and p is 25 when q is 3, determine p
when q is equal to 5.

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Orla Orla 4 years 2021-08-28T01:01:35+00:00 1 Answers 7 views 0

Answers ( )

  1. binhan
    0
    2021-08-28T01:02:44+00:00
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    Answer:

    p = 9 when q = 5.

    Step-by-step explanation:

    p is inversely proportional to the square of q

    This means that:

    p = \frac{k}{q^2}

    In which k is a constant multiplier.

    p is 25 when q is 3

    We use this to find k.

    p = \frac{k}{q^2}

    25 = \frac{k}{3^2}

    k = 25*9 = 225

    So

    p = \frac{225}{q^2}

    Determine p when q is equal to 5.

    p = \frac{225}{q^2} = \frac{225}{5^2} = 9

    p = 9 when q = 5.

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