Question

1-6. Indicate whether each table or graph represents a proportional

Answer 1

Answer:

Step-by-step explanation:

Proportional relationship means,

x ∝ y

x = ky

$\frac{x}{y}=k$ where 'k' is the proportionality constant.

From table (1),

$\frac{1}{5}=\frac{2}{9}\neq \text{Constant}$

Therefore, relationship is not proportional.

From table (2),

$\frac{1}{6}=\frac{3}{18}=\text{constant}$

True.

So the relationship will be proportional.

From table (3),

$\frac{\text{hours}}{\text{Miles}}= \frac{2}{110}=\frac{5}{175}=\frac{1}{55}$

Which is constant.

Therefore, relationship will be proportional.

From table (4),

$\frac{\text{Hours}}{\text{Paid}}=\frac{3}{29.25}=\frac{5}{48.75}=0.103$

Which is constant for every term.

Therefore, relationship will be proportional.