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3 1. If y varies inversely 2. If r varies inversely as s and r= 3. 4. and y = 12 when x= C. Solve for the indicated variable in each of the following. as x and y 3 when 4, find y when x = 6. 100 when s = - 27, find the value of r when s = 45. If p varies inversely as the square of g and p = 3 when q = 4, find P. when q = 16. If y varies inversely as x and y = -2 when x = -8, find x when y = 2. 5. 6. as y and w= 2 when y = 3, find w when y = 6. 8 when n = 3, find m when n = 12. 7. If y varies inversely as x, and y is 10 when x = 5, find y when x = 7. 8. If a varies inversely as b and a = 12 when b = 8, find a when b = 6. 9. If w varies inversely as x and wis 10 when x = 5 find w when x = 25. 10. If y varies inversely as x and y = 10 when x = 5, find y when x = 15. If w varies inversely If m varies inversely as n and m =​

Sagot :

Given : y varies inversely as x and y = 3 when x = 4,
To Find : y when x = 6.
Solution:
y varies inversely as x
=> y ∝ 1/x
=> xy = K ( K is constant)
y = 3 when x = 4,
=> 4(3) = K
=> K = 12
=> xy = 12
x = 6
=> 6y = 12
=> y = 2
r varies inversely as s
=> rs = k
=> 100(27) = 2700 = k
s = 45.
=> 45r = 2700
=> r = 60
p varies inversely as the square of q
=> pq² = k
=> 3(4)² = p(16)²
=> p = 3/16
y varies inversely as x
=> xy = k
=> (-8)(-2) = x(2)
=> x = 8
w varies inversely as y
=> wy = k
=> 2(3) = w(6)
=> w = 1
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