Question
The Bay Grove local news channel is predicting a heat wave in the area next week. The temperature is predicted to be as high as 105 degrees Fahrenheit.
Let t represent the temperature, in degrees Fahrenheit, during the heat wave. 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 t represent the temperature, in degrees Fahrenheit, during the heat wave. 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 story about the heat wave, we can represent the temperature \( t \) with an inequality. Since the temperature is predicted to be as high as 105 degrees Fahrenheit, we want \( t \) to be less than or equal to 105.
The appropriate inequality is:
\[ t \leq 105 \]
This means that the temperature can be anything up to and including 105 degrees Fahrenheit.
### Graphing the Inequality
1. **Plot the Endpoint**: Start by plotting the point at \( t = 105 \) on the temperature axis.
2. **Closed Circle**: Since the temperature can reach up to 105 degrees Fahrenheit (it includes 105), we will place a **closed circle** at \( t = 105 \).
3. **Draw the Ray**: From the closed circle at 105, draw a line (or ray) extending to the left, indicating all temperatures less than or equal to 105.
### Final Graph
- The graph will show a closed circle at 105 and a solid line extending to the left (indicating all temperatures less than or equal to 105 degrees Fahrenheit).
This represents that the temperature can be any value from negative infinity up to and including 105 degrees Fahrenheit.
The appropriate inequality is:
\[ t \leq 105 \]
This means that the temperature can be anything up to and including 105 degrees Fahrenheit.
### Graphing the Inequality
1. **Plot the Endpoint**: Start by plotting the point at \( t = 105 \) on the temperature axis.
2. **Closed Circle**: Since the temperature can reach up to 105 degrees Fahrenheit (it includes 105), we will place a **closed circle** at \( t = 105 \).
3. **Draw the Ray**: From the closed circle at 105, draw a line (or ray) extending to the left, indicating all temperatures less than or equal to 105.
### Final Graph
- The graph will show a closed circle at 105 and a solid line extending to the left (indicating all temperatures less than or equal to 105 degrees Fahrenheit).
This represents that the temperature can be any value from negative infinity up to and including 105 degrees Fahrenheit.