Question
\( f(x)=\frac{2}{3} x+3 \) What is the value of \( f(12) \) ? \( f(12)= \)
Ask by Reeves Rose. in the United States
Mar 14,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( f(12) = 11 \)
Solution
Let's start by substituting \( x = 12 \) into the function:
\[
f(12) = \frac{2}{3} \cdot 12 + 3
\]
Simplify the multiplication:
\[
\frac{2}{3} \cdot 12 = \frac{2 \cdot 12}{3} = \frac{24}{3} = 8
\]
Now, add \( 3 \):
\[
f(12) = 8 + 3 = 11
\]
Thus, the value is \( f(12) = 11 \).
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Simplify this solution Beyond the Answer
To find the value of \( f(12) \), we substitute \( x \) with \( 12 \) in the function \( f(x) \). \[ f(12) = \frac{2}{3} \cdot 12 + 3 = \frac{24}{3} + 3 = 8 + 3 = 11 \] So, \( f(12) = 11 \). To add some flavor to the math: imagine you're a town planner trying to figure out how many houses to build on the 12th block of a street; you're using this linear function to predict the "happy factor" based on the number of houses. If \( f(12) \) yields 11, you know you’re creating a cozy little community for your future residents!
