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 proportion

(a)

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

7 = [tex]\frac{k}{9}[/tex] ( multiply both sides by 9 )

63 = k

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

(b)

When x = 21, then

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