\( f(x)=\frac{2}{3} x+3 \) What is the value of \( f(12) \) ? \( f(12)= \)

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!