P varies inversely with x. If P = 12 when x = 4, find the value of P when x = −48.

Question

P varies inversely with x. If P = 12 when x = 4, find the value of P when x = −48.

in progress 0
Kim Chi 2 months 2021-08-04T18:49:32+00:00 1 Answers 2 views 0

Answers ( )

    0
    2021-08-04T18:51:29+00:00

    Answer:

    P = – 1

    Step-by-step explanation:

    Given P varies inversely with x the the equation relating them is

    P = \frac{k}{x} ← k is the constant of variation

    To find k use the condition P = 12 when x = 4

    12 = \frac{k}{4} ( multiply both sides by 4 )

    48 = k

    P = \frac{48}{x} ← equation of variation

    When x = – 48, then

    P = \frac{48}{-48} = – 1

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )