uppose that y varies inversely with x. Write an equation for the inverse variation. y = 2 when x = 5
1 answer:
Answer:
An equation for the inverse variation y = 2 when x = 5 is:
y=10/x
Step-by-step explanation:
Suppose that y varies inversely with x:
y=k/x
Write an equation for the inverse variation y = 2 when x = 5
Substituting y by 2 and x by 5 in the formula above:
2=k/5
Solving for k: Multiplying both sides of the equation by 5:
5(2)=5(k/5)
10=k
k=10
Then the equation is:
y=k/x
y=10/x
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