The problem asks us to evaluate the value of $f(10)$ for the function $f(x) = 3x + 8$.

Solution:

1. Start with the given function: $f(x) = 3x + 8$

2. Substitute $x = 10$ into the function: $f(10) = 3(10) + 8$

3. Simplify the expression: $f(10) = 30 + 8 = 38$

Final Answer:

$f(10) = 38$

Would you like a step-by-step breakdown or have any further questions?

Here are 5 related questions to expand on this:

1. What is the value of $f(0)$ for the function $f(x) = 3x + 8$?
2. How do you find $f(x)$ when $x$ is a negative number, e.g., $x = -5$?
3. If $f(x) = 3x + 8$, solve for $x$ when $f(x) = 20$.
4. Can you graph the function $f(x) = 3x + 8$, and where does it intersect the y-axis?
5. How does the slope $m = 3$ affect the graph of $f(x) = 3x + 8$?

Tip: Always substitute the variable carefully and double-check arithmetic to avoid mistakes in evaluation!