Question
The number of points awarded in each round of a game can be represented
by f(x) = 2^x where x represents the number of the round
What is x when f(x) = 16?
• A. x= 14; In round 14, 16 points will be awarded
• B. x= 8; In round 8, 16 points will be awarded.
C. x= 5; In round 5, 16 points will be awarded.
D. x= 4; In round 4, 16 points will be awarded
by f(x) = 2^x where x represents the number of the round
What is x when f(x) = 16?
• A. x= 14; In round 14, 16 points will be awarded
• B. x= 8; In round 8, 16 points will be awarded.
C. x= 5; In round 5, 16 points will be awarded.
D. x= 4; In round 4, 16 points will be awarded
Answers
GPT-4o mini
To find \( x \) when \( f(x) = 16 \), we can set up the equation:
\[
f(x) = 2^x = 16
\]
Since \( 16 \) can be expressed as a power of \( 2 \):
\[
16 = 2^4
\]
So, we can equate the exponents:
\[
2^x = 2^4
\]
This means:
\[
x = 4
\]
Therefore, the correct answer is:
**D. x = 4; In round 4, 16 points will be awarded.**
\[
f(x) = 2^x = 16
\]
Since \( 16 \) can be expressed as a power of \( 2 \):
\[
16 = 2^4
\]
So, we can equate the exponents:
\[
2^x = 2^4
\]
This means:
\[
x = 4
\]
Therefore, the correct answer is:
**D. x = 4; In round 4, 16 points will be awarded.**