Question
Evaluate the function for the given value.
yequals24 times 0.5 Superscript x for xequals3
Question content area bottom
Part 1
yequals
enter your response here (
yequals24 times 0.5 Superscript x for xequals3
Question content area bottom
Part 1
yequals
enter your response here (
Answers
Answered by
GPT-4o mini
To evaluate the function \( y = 24 \times 0.5^x \) for \( x = 3 \), we substitute \( x \) with 3:
\[
y = 24 \times 0.5^3
\]
Now, we calculate \( 0.5^3 \):
\[
0.5^3 = 0.5 \times 0.5 \times 0.5 = 0.125
\]
Next, we multiply this result by 24:
\[
y = 24 \times 0.125
\]
Calculating that gives:
\[
y = 3
\]
Therefore, the value of the function when \( x = 3 \) is:
\[
y = 3
\]
\[
y = 24 \times 0.5^3
\]
Now, we calculate \( 0.5^3 \):
\[
0.5^3 = 0.5 \times 0.5 \times 0.5 = 0.125
\]
Next, we multiply this result by 24:
\[
y = 24 \times 0.125
\]
Calculating that gives:
\[
y = 3
\]
Therefore, the value of the function when \( x = 3 \) is:
\[
y = 3
\]