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?
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:
Desmond's time
Step-by-step 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,
\(\frac{146}{2}=\frac{292}{2}=\frac{584}{8}=73\)
Thus, the situation of Desmond shows the proportional relationship between time and number of laps,
By the second table,
\(\frac{150}{2}=30\)
\(\frac{320}{4}=8\)
\(\frac{580}{6}=96.67\)
\(\implies \frac{150}{2} eq \frac{320}{4} eq \frac{580}{6}\)
Thus, the situation of Maria does not show the proportional relationship between time and laps.