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

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.**

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