The variable Z is directly proportional to X, and inversely proportional to Y. When X is 10 and Y is 4, Z has the value 47.5.
1 answer:
Because Z is directly proportional to X and inversely proportional to Y, therefore

When X=10 and Y=4, Z=47.5.
Therefore
k(10/4) = 47.5
2.5k = 47.5
k = 19.
That is,

When X=13 and Y=10, obtain
Z = (19*13)/10 = 24.7
Answer: 24.7
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