Question

find the constant of proportionality (r) in the equation y = rx, when y is 9 and x is 4.5

Answer 1

We are given the following equation:

$y=rx$

We are asked to determine the value of "r" when x = 9 and y = 4.5. Replacing the values in the equation:

$4.5=r(9)$

Now we divide both sides by 9:

$\frac{4.5}{9}=r$

Solving the operations:

$0.5=r$

Therefore, the constant of proportionality is 0.5.