4) We were told that pamela rode her bike at a constant rate of 0.1 km per minute. This means that the slope is 0.1. Thus, we would find the slope for each table and choose the one that has 0.1 as slope. The formula for determining slope is expressed as
slope = (y2 - y1)/(x2 - x1)
For table F,
when x1 = 5, y1 = 0.1
when x2 = 10, y2 = 0.1
Slope = (0.1 - 0.1)/(10 - 5) = 0/5 = 0
For table G,
when x1 = 5, y1 = 0.5
when x2 = 10, y2 = 1.0
Slope = (1 - 0.5)/(10 - 5) = 0.5/5 = 0.1
For table H,
when x1 = 5, y1 = 0.1
when x2 = 10, y2 = 10.1
Slope = (10.1 - 0.1)/(10 - 5) = 10/5 = 2
For table J,
when x1 = 5, y1 = 5.1
when x2 = 10, y2 = 10.1
Slope = (10.1 - 5.1)/(10 - 5) = 5/5 = 1
Only table G has a slope of 0.1. Thus, the correct option is table G