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ANEK [815]
3 years ago
6

Write a function that models the variation. x = 1/3, y = 1/5, and r = 3 when z = 1/2. z varies directly with x and inversely wit

h the product of r^2 and y.
Mathematics
1 answer:
Elodia [21]3 years ago
6 0
Z varies directly with x 
<span>so, let z = kx (k is some constant) </span>
<span>now, since when z = 1/2, x = 1/3 </span>
<span>we get, 1/2 = k/3, so k = 3/2 </span>
<span>so, we get z = 3x/2 </span>

<span>z varies inversely with the product of r^2 and y </span>
<span>so, z = c/(y * r^2) (c is some constant) </span>
<span>again, when z = 1/2, y = 1/5 and r = 3 </span>
<span>so, we get, 1/2 = c/(9/5), so c = 9/10 </span>
<span>so, we get z = 9/(10*y*r^2) </span>

<span>the above two functions model the variations </span>

<span>does this make sense ?
hopefully this is right!</span>
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