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.

Question

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.