After each bounce, the height of the ball is measured and recorded in the table. Bounce Number
1
Height (cm) After Bounce
10,240
2,560
2
3
640
4
160
Write an explicit and recursive formula to represent the sequence of the height of the ball after each bounce.
What is the height of the ball after bounce 8? Explain your answer by using one of the formulas you created.

hreryryrranswer:

step-by-step explanation:

asdsad

step-by-step explanation:

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.