Question

2. X у 8 2 16 4 20 5 28 7 What is the constant of proportionality between x units and its y value? A 1 1 4 1 2.

Answer 1

hello

to solve this question, we need to calculate the constant of proportionality from the formula

`\begin{gathered} (x_1)/(y_1)=(x_2)/(y_2) \\ x_1=8 \\ y_1=2 \\ x_2=16 \\ y_2=? \\ \end{gathered}`

let's substitute the values into the equation now

`\begin{gathered} (x_1)/(y_1)=(x_2)/(y_2) \\ (8)/(16)=(4)/(y_2) \\ \text{cross multiply and make y}_{2\text{ }} \\ y_2=(16*4)/(8) \\ y_2=4 \end{gathered}`

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