Question
Dakota took a babysitting safety course this summer. She learned how to do CPR and how to care for an infant. She also learned that any temperature over 100.4°F is considered a fever.
Let f represent the temperature, in degrees Fahrenheit, that could be considered a fever. 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 f represent the temperature, in degrees Fahrenheit, that could be considered a fever. 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 the condition for a fever using an inequality, we define \( f \) as the temperature in degrees Fahrenheit. According to the story, any temperature over 100.4°F is considered a fever. This can be expressed using the inequality:
\[ f > 100.4 \]
### Graphing the Inequality:
1. **Plotting the Endpoint**: Start by plotting the point at 100.4 on the temperature scale.
2. **Open Circle**: Since the inequality is strict (greater than), we use an open circle at 100.4 to indicate that 100.4 is not included in the solution.
3. **Ray**: Then, draw a ray extending to the right from the point 100.4, indicating that all values greater than 100.4 are included in the solution.
### Summary of the Graph:
- The open circle at 100.4 indicates that this value is not part of the solution.
- The ray extending to the right shows all temperatures greater than 100.4°F are considered a fever.
If you are using graphing software or drawing tools, follow the instructions to create an open circle at 100.4°F, and then draw a ray to the right.
\[ f > 100.4 \]
### Graphing the Inequality:
1. **Plotting the Endpoint**: Start by plotting the point at 100.4 on the temperature scale.
2. **Open Circle**: Since the inequality is strict (greater than), we use an open circle at 100.4 to indicate that 100.4 is not included in the solution.
3. **Ray**: Then, draw a ray extending to the right from the point 100.4, indicating that all values greater than 100.4 are included in the solution.
### Summary of the Graph:
- The open circle at 100.4 indicates that this value is not part of the solution.
- The ray extending to the right shows all temperatures greater than 100.4°F are considered a fever.
If you are using graphing software or drawing tools, follow the instructions to create an open circle at 100.4°F, and then draw a ray to the right.