Look at the tables below. Determine whether each is showing a proportional relationship.
$1$1 | $2$2 | $3$3 | $4$4 | $5$5 |
$2$2 | $4$4 | $6$6 | $8$8 | $17.5$17.5 |
Proportional
Not proportional
$0$0 | $0$0 |
$1$1 | $1.5$1.5 |
$2$2 | $3$3 |
$3$3 | $4.5$4.5 |
$4$4 | $6$6 |
Proportional
Not proportional
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 physiotherapist charges $\$55$$55 per patient she treats.
Homer is making cups of fruit smoothie. The amount of bananas and strawberries he uses is shown in the proportion table.
Recognize and represent proportional relationships between quantities.
(a) Decide whether two quantities are in a proportional relationship.