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y is inversely proportional to x

when y=7, x=9

Awork out an equation connecting y and x
Bwork out the value of y when x=21

Verified Answer :

Answer:

\(y=\frac{63}{x}\)

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

\(y=\frac{k}{x}\)

where k is the constant of proportionality

y=7, x=9 plug in the values and find out k

\(7=\frac{k}{9}\)

Multiply 9 on both sides

63=k

an equation connecting y and x is \(y=\frac{k}{x}\)

\(y=\frac{63}{x}\)

b) work out the value of y when x=21

\(y=\frac{63}{x}\)

Plug in 21 for x

\(y=\frac{63}{21}\)

y=3

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