5. P varies inversely as (m + 1)  when p = 4 , m = 8  find the value p when m = 11  ?

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  • 4 months ago

    P varies inversely as (m + 1) when p = 4 , m = 8 

    Find the value p when m = 11  

    p = k / (m + 1)

    p = 36 / (m + 1)

    p = 36 / (11 + 1) 

    p = 36 / 12

    p = 3

  • 4 months ago

    if p varies inversely as (m + 1), then:

    p = k / (m + 1)

    When p = 4, m = 8, so we can use this to solve for k:

    4 = k / (8 + 1)

    4 = k / 9

    36 = k

    Now your equation is:

    p = k / (m + 1)

    p = 36 / (m + 1)

    What's p when m = 11?  Since m increased, we'd expect p to decrease.

    p = 36 / (11 + 1)

    p = 36 / 12

    p = 3

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