1. The problem asks to describe the function representing the number of flyers Joaquin hands out over time based on the graph. 2. From the graph, the function is linear, starting at the origin (0,0) and increasing steadily to about (4,40). 3. The initial value is the number of flyers handed out at time $x=0$, which is $0$. 4. This means Joaquin starts with no flyers handed out. 5. The slope of the line represents the rate at which flyers are handed out. Using points $(0,0)$ and $(4,40)$, the slope $m$ is calculated as: $$m=\frac{40-0}{4-0}=\frac{40}{4}=10$$ 6. The function can be written as: $$y=10x$$ where $y$ is the number of flyers and $x$ is the time in minutes. 7. This means Joaquin hands out 10 flyers every minute. 8. In summary, the function is $y=10x$ with an initial value of 0 flyers, representing a constant rate of 10 flyers per minute.