Question

A volleyball is served from a height of 6 feet with an initial velocity of 33 feet per second. The situation is modeled using the
function h = -6t? + 33t + 6, where his the height in feet and t is time in seconds. Which of the following uses the function
to correctly identify the corresponding y-values to the given x-values of 0, 1, 2, 3, and 4? (1 point)
• (6, 0). (33, 1). (48, 2), (51,3), and (42, 4)
• (0,0). (1,27). (2,42), (3, 45), and (4, 36)
• (0,6). (1, 21). (2,48). (3, 69), and (4, 90)
• (0,6). (1, 33). (2, 48). (3, 51) and (1, 12)

Answer 1

Compute h(t) = -6t^2 + 33t + 6:

t=0: h=6 → (0,6)
t=1: h=33 → (1,33)
t=2: h=48 → (2,48)
t=3: h=51 → (3,51)
t=4: h=42 → (4,42)

So the correct pairs are (0,6), (1,33), (2,48), (3,51), (4,42). None of the given choices list these pairs in that order; choice 1 contains the correct numbers but reversed as (y,x). If you must pick from the options and accept the reversal as a typo, choose option 1; otherwise none are exactly correct.