Question

Jeremiah is volunteering at the Groveland Community Center's secondhand sale. He is setting up a clearance bin with several small items. All items in the bin cost at most 50¢.
Let c represent the amount, in cents, that each item in the clearance bin might cost. Which inequality models the story?
Graph the inequality that models the story.
To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it.

Answer 1

The inequality that models the story, where each item in the clearance bin costs at most 50¢, is:

\[ c \leq 50 \]

This means that the cost \( c \) in cents can be any value less than or equal to 50.

### Graphing the Inequality

1. **Set the x-axis:** This axis will represent the cost in cents, \( c \).
2. **Identify the point:** Plot the point at 50 on the x-axis.
3. **Choose an endpoint type:**
- Since the inequality is "less than or equal to" (≤), you will use a **closed circle** at 50 to indicate that 50 is included.
4. **Draw the ray:** From the closed circle at 50, draw a ray extending left (toward lower costs) to indicate all values that are less than 50.

The graph should look like this:

- A closed dot (●) at 50 on the x-axis.
- A solid line or ray extending left from that point to indicate all values down to 0 (¢).

Finally, ensure to label the axes and the inequalities accordingly for clarity!