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The quantities $x$ and $y$ are proportional, $x = 8$ and $y=9$ Find the constant of proportionality ( $r$ ) in the equation. $y=rx$

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Write and solve inverse variation equations

Full solution

Q. The quantities

x

and

y

are proportional,

x = 8

and

y=9

Find the constant of proportionality (

r

) in the equation.

y=rx

General Form: General form of direct proportion is $y = rx$ .
Substitute Values: Given $x = 8$ and $y = 9$ , substitute into $y = rx$ to find $r$ .
Equation Solution: So, $9 = r \times 8$ .
Solve for r: Divide both sides by $8$ to solve for r, $r = \frac{9}{8}$ .
Calculate r: Calculate r, $r = 1.125$ .

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