Question

Assume that y varies inversely with
x .
If y = 5 when x = 90,find x when y = 50.

Answer 1

• The value of x is 9 when y = 50

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Inverse variation equation:

• y = k/x, where k - constant

Use the initial values to find the value of k:

• 5 = k/90
• k = 5*90
• k = 450

Substitute the value of k to show the equation:

• y = 450/x

Find the value of x when y = 50:

• 50 = 450/x
• x = 450/50
• x = 9