Answer : Rate of change is 2/5 meters per second
Give data:
Time = 5 seconds
Head start = 8 meter
Distance rode, every 5 seconds = 2 meters
Her start line is (0, 8)
Rate of change = distance / time
Rate of change = 2/5
Rate of change = 2/5 meters / second
Since she has a 8 meters head start
Then the slope - intercept equation is
y = 2/5x + 8
Rate of change = 2/5