Question

Which situation represents a proportional relationship between the number of laps run by each student and their time.desmond's time (s) 146 292 584laps 2 4 8maria's time (s) 150 320 580laps 2 4 6?

Answer 1

Desmond's times are proportional. for every 2 laps he takes 146
146 / 2 = 73
292 / 4 = 73
584 / 8 = 73

Maria's time are not proportional
150 / 2 = 75
320 / 4 = 80
580 / 6 = 96.67

Answer 2

Desmond's time

Explanation:

Given,

Desmond's time (s) 146 292 584

laps 2 4 8

Maria's time (s) 150 320 580

laps 2 4 6

By the first table,

`(146)/(2)=(292)/(2)=(584)/(8)=73`

Thus, the situation of Desmond shows the proportional relationship between time and number of laps,

By the second table,

`(150)/(2)=30`

`(320)/(4)=8`

`(580)/(6)=96.67`

`\implies (150)/(2)\\eq (320)/(4)\\eq (580)/(6)`

Thus, the situation of Maria does not show the proportional relationship between time and laps.