Tina was observing the changing heights of a ball as it bounced over time. She graphed the function on this coordinate grid to show f(x), the height of the dropped ball, in feet, after it's xth bounce. Complete each of the 2 activities for this Task.
Activity 1 of 2
Which statement best describes the meaning of f(2) = 8 ?

A.
After the 2nd bounce, the ball reached 8 feet.

B.
After the 8th bounce, the ball reached 2 feet.

C.
In 2 seconds, the ball bounced 8 times.

D.
In 8 seconds, the ball bounced 2 times.

Activity 2 of 2
Determine f(3).

A.
f(3) = 3

B.
f(3) = 4

C.
f(3) = 3.5

D.
f(3) = 8

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.

98%

step-by-step explanation:

easy its decreasing

step-by-step explanation:

because its top point is at the to of the graph on the left side (atleast from the veiw i see it) now if that top point wast in the lower part of the graph it would be increasing hope this have a nice day