Sample Response: There is a common ratio of 2/3 between the height of the ball at each bounce. So, the bounce heights form a geometric sequence: 27, 18, 12. Two-thirds of 12 is 8, so on the fourth bounce, the ball will reach a height of 8 feet.
12x + 16y = 96
Subtract 12x from both sides
16y = 96 - 12x
Divide each side by 16
y = 6 - 0.75x
D<x =8 18+6 is 24 and 24/3 is 8
Tan(35)=x/12
.7=x/12
12*.7=x
x=8.4
