Answer :
To find [tex]\( f(57) \)[/tex] given [tex]\( f(x) = \frac{1}{3} x + 14 \)[/tex]:
1. First, we need to plug [tex]\( x = 57 \)[/tex] into the function [tex]\( f(x) \)[/tex].
2. This means we will substitute [tex]\( x \)[/tex] with 57 in the equation [tex]\( f(x) \)[/tex]:
[tex]\[
f(57) = \frac{1}{3} \cdot 57 + 14
\][/tex]
3. Now, we calculate [tex]\( \frac{1}{3} \cdot 57 \)[/tex]:
[tex]\[
\frac{1}{3} \cdot 57 = 19
\][/tex]
4. Next, we add 14 to our result from step 3:
[tex]\[
19 + 14 = 33
\][/tex]
So, [tex]\( f(57) = 33 \)[/tex].
The correct answer is:
33
1. First, we need to plug [tex]\( x = 57 \)[/tex] into the function [tex]\( f(x) \)[/tex].
2. This means we will substitute [tex]\( x \)[/tex] with 57 in the equation [tex]\( f(x) \)[/tex]:
[tex]\[
f(57) = \frac{1}{3} \cdot 57 + 14
\][/tex]
3. Now, we calculate [tex]\( \frac{1}{3} \cdot 57 \)[/tex]:
[tex]\[
\frac{1}{3} \cdot 57 = 19
\][/tex]
4. Next, we add 14 to our result from step 3:
[tex]\[
19 + 14 = 33
\][/tex]
So, [tex]\( f(57) = 33 \)[/tex].
The correct answer is:
33
