Question

The quantities x and y are proportional.X= 12, 18, 25Y= 36, 54, 75Find the constant of proportionality (r) in the equation y = rx.Answer: R=?

Answer 1

hello

to find the constant of proportionality, we should use the formula given

$\begin{gathered} y=rx \\ \end{gathered}$$\begin{gathered} y_1=36 \\ x_1=12 \\ y=rx \\ r=\frac{y}{x} \\ r=\frac{36}{12} \\ r=3 \end{gathered}$

let's check for another point

$\begin{gathered} y_2=54 \\ x_2=18 \\ y=rx \\ r=\frac{y}{x} \\ r=\frac{54}{18} \\ r=3 \end{gathered}$

from the calculations above, the value of r is equal to 3