Question

50 Points

The graph shows the relationship between time and distance as Pam rides her bike. During which time period was the rate of change the greatest?
A) 0 to 5 minutes
B) 5 to 15 minutes
C) 5 to 20 minutes
D) 20 to 35 minutes

Answer 1

`0-5\ min\\\\(3\ km)/(5\ min)=0.6\ (km)/(min)\\\\5-20\ min\\\\((4-3)\ km)/((20-5)\ min)=(1\ km)/(15\ min)\approx0.067\ (km)/(h)\\\\20-35\\\\((6-4)\ min)/((35-20)\ min)=(2\ km)/(15\ min)\approx0.133\ (km)/(min)\\\\0.067 < 0.133 < 0.6\\\\Therefore\ your\ answer\ is: A)\ 0\ to\ 5\ minutes`

Answer 2

The time period which has the greatest rate of change is from 0 to 5 minutes, because the steeper the line is, the greater the slope is. Hope this helps!