A quantity p is partly constant and partly varies inversely as a quantity q.Given that p=10 when q=1.5 and p=20 when q=1.25, find the value of p when q=0.5.
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1 answer

p = c + k/q
10 = c + k/1.5
20 = c + k/1.25
subtract
10 = k (1/1.5  1/1.25) = k (0.6667  0.80) = k (0.13333)
k = 75
then
10 = c +75/1.5 = c + 50
c = 40
so
p = 40 + 75/q
if q = 0.5
p = 40 + 150 = 110 👍
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answered by Anonymous
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