Question
Paula is making strawberry lemonade to serve at her picnic. The recipe says to add 8.5 ounces of strawberry syrup to regular lemonade. Paula wants there to be a strong strawberry flavor and decides to add more syrup than the recipe suggests.
Let s represent the amount of strawberry syrup, in ounces, Paula 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.
Let s represent the amount of strawberry syrup, in ounces, Paula 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.
Answers
GPT-4o mini
To model Paula's decision about the amount of strawberry syrup to add to her lemonade, we can establish the following inequality:
\[ s > 8.5 \]
In this inequality, \( s \) represents the amount of strawberry syrup in ounces that Paula will add, and it must be greater than 8.5 ounces to achieve a strong strawberry flavor.
### Graphing the Inequality
1. **Draw the number line**: Create a horizontal line and mark appropriate intervals on it (e.g., 0, 5, 8, 8.5, 10, 12, etc.).
2. **Mark the endpoint**: Since the inequality is \( s > 8.5 \), mark the point 8.5 with an open circle (not filled in) to indicate that it is not included in the solution set.
3. **Shade the ray**: Shade the region to the right of the open circle at 8.5 to indicate all values greater than 8.5.
This visual represents all possible values of \( s \) that Paula could add to maintain the strong strawberry flavor in her lemonade. The shaded area signifies \( s \) can be any value greater than 8.5 ounces.
\[ s > 8.5 \]
In this inequality, \( s \) represents the amount of strawberry syrup in ounces that Paula will add, and it must be greater than 8.5 ounces to achieve a strong strawberry flavor.
### Graphing the Inequality
1. **Draw the number line**: Create a horizontal line and mark appropriate intervals on it (e.g., 0, 5, 8, 8.5, 10, 12, etc.).
2. **Mark the endpoint**: Since the inequality is \( s > 8.5 \), mark the point 8.5 with an open circle (not filled in) to indicate that it is not included in the solution set.
3. **Shade the ray**: Shade the region to the right of the open circle at 8.5 to indicate all values greater than 8.5.
This visual represents all possible values of \( s \) that Paula could add to maintain the strong strawberry flavor in her lemonade. The shaded area signifies \( s \) can be any value greater than 8.5 ounces.