Answer: C. Increasing linear

Explanation:1. Understand the function definition: For $x>0$, $f(x)$ equals $111\%$ of $x$.

2. Convert the percentage to a decimal: $111\% = \dfrac{111}{100} = 1.11$

3. Write the function $f(x)$ explicitly: $f(x) = 1.11x$

4. Analyze the form of the function: The function $f(x) = 1.11x$ is in the form $f(x) = mx + b$, where $m = 1.11$ and $b = 0$. This is the form of a linear function.

5. Determine if the function is increasing or decreasing: The slope of the linear function is $m = 1.11$. Since the slope $m > 0$, the function is increasing.

6. Consider the types of functions given in the options: - Linear functions have a constant rate of change (slope). - Exponential functions have a rate of change that is proportional to the function's current value (e.g., $f(x) = a \cdot b^x$). Our function $f(x) = 1.11x$ is clearly linear.

7. Compare with the given options: [A] Decreasing exponential [B] Decreasing linear [C] Increasing linear [D] Increasing exponential Our analysis shows the function is increasing and linear, which matches option C.

8. Conclusion: The function $f(x) = 111\%$ of $x$ is an increasing linear function.