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Suppose that y varies directly with x and inversely with z, and y = 4 when x = 8 and z = 14. Find z when x = 36 and y = 6. First, what is the equation of variation? y = What is the value of k ?
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Suppose that y varies directly with x and inversely with z, and y = 4 when x = 8 and z = 14. Find z when x = 36 and y = 6. First, what is the equation of variation? y =

What is the value of k ?

User YaoFeng
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2 Answers

2 votes
y=kx/z is the equation of variation.
4=8k/14, so k=4×14/8=7. Therefore k=7. So y=7x/z. When x=36 and y=6, 6=252/z, z=252/6=42.
User Anton Tarasenko
by
7.3k points
2 votes

Answer:y=kx/z

k=7

z=42

User Tim Lytle
by
6.8k points
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