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If p is inversely proportional to the square of q, and p is 19 when q is 8, determine p when q is equal to 3

 Aug 26, 2021
 #1
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p == k * q^2      k==constant of proportionality

19==k * 8^2, solve for k

K==19 / 64

 

p ==19/64 * 3^2 ==171 / 64 ==2 + 43/64

 Aug 26, 2021
 #2
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p = k / q^2

19==k /8^2==k / 64, solve for k

k ==64 *19 ==1,216

 

p =1,216 / 3^2 ==1,216 / 9 ==135 + 1/9

 

Note: Forget the first solution.

 Aug 26, 2021

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