Respuesta :
hello
to solve this question, we need to calculate the constant of proportionality from the formula
[tex]\begin{gathered} \frac{x_1}{y_1}=\frac{x_2}{y_2} \\ x_1=8 \\ y_1=2 \\ x_2=16 \\ y_2=? \\ \end{gathered}[/tex]let's substitute the values into the equation now
[tex]\begin{gathered} \frac{x_1}{y_1}=\frac{x_2}{y_2} \\ \frac{8}{16}=\frac{4}{y_2} \\ \text{cross multiply and make y}_{2\text{ }} \\ y_2=\frac{16\times4}{8} \\ y_2=4 \end{gathered}[/tex]this confirms there's a proportionality between the relationship
now the constant can be found by picking x1 / y1
x1 / y1 = 8 /2 = 4
x2 / y2 = 16 / 4 = 4
x3/ y3 = 20 / 5 = 4
if you notice, they're all constant
