Answer:
![y=\frac{63}{x}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B63%7D%7Bx%7D)
y=3
Step-by-step explanation:
y is inversely proportional to x
when y=7, x=9
When y is inversely proportional to x , then the equation is
![y=\frac{k}{x}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7Bk%7D%7Bx%7D)
where k is the constant of proportionality
y=7, x=9 plug in the values and find out k
![7=\frac{k}{9}](https://tex.z-dn.net/?f=7%3D%5Cfrac%7Bk%7D%7B9%7D)
Multiply 9 on both sides
63=k
an equation connecting y and x is ![y=\frac{k}{x}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7Bk%7D%7Bx%7D)
![y=\frac{63}{x}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B63%7D%7Bx%7D)
b) work out the value of y when x=21
![y=\frac{63}{x}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B63%7D%7Bx%7D)
Plug in 21 for x
![y=\frac{63}{21}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B63%7D%7B21%7D)
y=3