Question

Explain why each table determine if y is proportional to x .

Answer 1

Answer:

see explanation

Step-by-step explanation:

If y is proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k divide both sides by x

k = $\frac{y}{x}$

This value must be constant for all ordered pairs, thus

k = $\frac{4}{6}$ = $\frac{2}{3}$

k = $\frac{6}{9}$ = $\frac{2}{3}$

k = $\frac{8}{12}$ = $\frac{2}{3}$

k = $\frac{2}{3}$

Since k is constant for all ordered pairs then y is proportional to x