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y is inversely proportional to x.

When y = 7, x = 9

Work out an equation connecting y and x.

Work out the value of y when x = 21

Respuesta :

Answer:

see explanation

Step-by-step explanation:

Given that y is inversely proportional to x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of proportionality

To find k use the condition that y = 7, x = 9

k = yx = 7 × 9 = 63, thus

y = [tex]\frac{63}{x}[/tex] ← equation of proportion

When x = 21, then

y = [tex]\frac{63}{21}[/tex] = 3

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