Express the following statment as a formula with the value of the constant of proportionality determined with?

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the given conditions:w varies directly as x and inversly as the square of y. ifx=15 and y=5,then w=36

2006-10-26 02:30:38 · 2 answers · asked by Dennis B 1 in Science & Mathematics ➔ Mathematics

If k is the constant of proportionality, then w = kx/y^2. With the data you were given, 36 = 15k/5^2 = 15k/25 = 3k/5 ==> k = (5/3)*36 = 60.

2006-11-01 13:32:32 · answer #1 · answered by DavidK93 7 · 0⤊ 0⤋

w = kx
w = k/y^2
kx = k/y^2
y = 5
w = 36
so 36 =k/25
k = 36*25 = 900

2006-10-26 09:37:15 · answer #2 · answered by Anonymous · 0⤊ 0⤋