Question

The function
f
(
x
)
=
1024
(
0.5
)
x
represents the number of players,
f
(
x
)
, remaining in a tournament after
x
rounds. Drew determines that
f
(
8
)
=
4
and interprets the result as there are
8
players left after
4
rounds.



Which statements BEST analyze Drew's work?



A.
The function was evaluated incorrectly for
f
(
8
)
because the input and output values were reversed. The interpretation is incorrect because the number of players and rounds were reversed.

B.
The function was evaluated correctly for
f
(
8
)
. The interpretation is incorrect because the number of players and rounds were reversed.

C.
The function was evaluated incorrectly for
f
(
8
)
because the input and output values were reversed. The interpretation is correct because the output represents the number of players remaining after inputting the number of rounds.

D.
The function was evaluated correctly for
f
(
8
)
. The interpretation is correct because the output represents the number of players remaining after inputting the number of rounds.

Answer 1

B.

Calculation is correct: 1024(0.5)^8 = 1024·(1/256) = 4. The interpretation is wrong — f(8)=4 means 4 players remain after 8 rounds, not 8 players after 4 rounds.