z varies inversely as the square of t. if z=4 when t=2, find z when t is 10

Discussion in 'Calculator Requests' started by math_celebrity, Dec 1, 2021.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    z varies inversely as the square of t. if z=4 when t=2, find z when t is 10

    Varies inversely means there exists a constant k such that:
    z = k/t^2

    If z = 4 when t = 2, we have:
    4 = k/2^2
    4 = k/4

    Cross multiply and we get:
    k = 4 * 4
    k = 16

    Now the problem asks to find z when t is 10:
    z = k/t^2
    z = 16/10^2
    z = 16/100
    z = 0.16
     

Share This Page