Question

2. If y varies inversely as x and x = 4 when y = 16,
then find x when y = 9.

Answer 1

• 64/9 or 7 1/9

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If y varies inversely as x then it has an equation:

• y = k/x, where k is coefficient

Substitute 4 for x and 16 for y to find the coefficient, k:

• 16 = k/4
• k = 64

The equation is now y = 64/x.

Find the value of x when y = 9:

• 9 = 64/x
• x = 64/9 or 7 1/9