# Proportional relationships

## Interactive practice questions

Look at the tables below. Determine whether each of them is showing a proportional relationship.

a
 $1$1 $2$2 $3$3 $4$4 $5$5 $2$2 $4$4 $6$6 $8$8 $10$10

Proportional

A

Not proportional

B

Proportional

A

Not proportional

B
b
 $0$0 $0$0 $1$1 $7$7 $2$2 $14$14 $3$3 $6$6 $4$4 $28$28

Proportional

A

Not proportional

B

Proportional

A

Not proportional

B
Easy
Less than a minute

Look at the tables below. Determine whether each is showing a proportional relationship.

During a gym session, participants can either do full push-ups (on toes) or half push-ups (on knees). However since half push-ups are easier, those who choose this option will need to do more of them. The table shows how many full and half push-ups participants had to do.

A courier’s delivery charges are outlined in the table below.

### Outcomes

#### 9P.NA1.05

Solve problems involving ratios, rates, and directly proportional relationships in various contexts (e.g., currency conversions, scale drawings, measurement), using a variety of methods (e.g., using algebraic 15 20 x 4 reasoning, equivalent ratios, a constant of proportionality; using dynamic geometry software to construct and measure scale drawings)