Question

Emmett is making a new type of sundae to sell at his ice cream shop. He starts by adding 14 ounces of chocolate syrup. Emmett wants the sundae to have a strong caramel flavor, so he plans to add more caramel syrup than chocolate syrup.
Let c represent the amount of caramel syrup, in ounces, that Emmett might add. 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

To express that Emmett wants to add more caramel syrup than chocolate syrup, we can represent the amount of caramel syrup (c) in ounces with the following inequality:

\[ c > 14 \]

This inequality states that the amount of caramel syrup \( c \) must be greater than 14 ounces, which corresponds to the 14 ounces of chocolate syrup he added.

### Graphing the Inequality
1. **Plot the endpoint**: Start by plotting the point 14 on the number line.
2. **Choose the right type of endpoint**: Since the inequality is "greater than" (not "greater than or equal to"), you'll use an open circle at 14 to indicate that 14 is not included in the solution.
3. **Draw the ray**: From 14, draw a ray to the right to indicate that all values greater than 14 satisfy the inequality.

The resulting graph will show an open circle at 14 and a line extending to the right. This represents all values of \( c \) that are greater than 14.