UB Practical Math test four • Name:

SVG xy scatter graph major grid lines axes x-axis and y-axis coordinate labels for the rectangles above (10,7) (20,14) (30,21) (40,28) (50,35) (60,42) (70,49) (80,56) (90,63) (100,70) linear regression line data points as circles text layers Drop height versus bounce height (centimeters) Drop height (cm) Bounce height (cm) y-axis labels 0 7 14 21 28 35 42 49 56 63 70 x-axis labels 0 10 20 30 40 50 60 70 80 90 100

Data table

Drop height (cm)Bounce height (cm)
107
2014
3021
4028
5035
6042
7049
8056
9063
10070
  1. 0.7 Calculate the slope for the data (use any two points).
  2. 0.0 Calculate the y-intercept for the data.
  3. y = 0.7x + 0 Write out the y = mx + b slope-intercept form of the equation.
  4. 350 Calculate the bounce for a drop of 500 cm.
  5. 714 Calculate the drop needed to produce a bounce of 500 cm.
  6. No Can the slope for a ball bounce be greater than one?
  7. Why can or cannot the slope for a ball bounce be greater than one?
    The bounce cannot exceed the drop for any ball. Scientific reason: conservation of energy. At best a ball can only bounce as high as the drop height. To bounce higher would require additional energy.