Question
A winter storm is expected to hit Crystalbury next week. The local meteorologist predicts the temperature will be as low as 15 degrees Fahrenheit.
Let t represent the temperature, in degrees Fahrenheit, during the winter storm. 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 winter storm. 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
Answered by
GPT-4o mini
To model the temperature during the winter storm in Crystalbury, given that it is expected to be as low as 15 degrees Fahrenheit, we can express this relationship using an inequality.
Let \( t \) represent the temperature during the winter storm. The condition that the temperature will be as low as 15 degrees Fahrenheit means that the temperature can be 15 degrees or lower. Therefore, we can write this as:
\[
t \leq 15
\]
### Graphing the Inequality:
1. **Identify the endpoint:** Start by plotting the point at \( t = 15 \) on the number line.
2. **Closed circle:** Since the temperature can equal 15 degrees, mark the point with a closed circle (indicating that 15 is included in the solution set).
3. **Draw the ray:** Draw a ray that extends to the left from the point \( t = 15 \), indicating all temperatures less than 15 degrees Fahrenheit.
This graph visually displays the temperatures that fall within or below the critical value of 15 degrees Fahrenheit.
### Summary of Graph:
- The x-axis represents the temperature.
- A closed circle is at \( t = 15 \).
- A shaded ray extends leftward towards negative infinity, indicating all temperatures less than or equal to 15 degrees are included in the solution.
Feel free to adjust the graph as needed based on the tools or medium you're using to create the visual representation.
Let \( t \) represent the temperature during the winter storm. The condition that the temperature will be as low as 15 degrees Fahrenheit means that the temperature can be 15 degrees or lower. Therefore, we can write this as:
\[
t \leq 15
\]
### Graphing the Inequality:
1. **Identify the endpoint:** Start by plotting the point at \( t = 15 \) on the number line.
2. **Closed circle:** Since the temperature can equal 15 degrees, mark the point with a closed circle (indicating that 15 is included in the solution set).
3. **Draw the ray:** Draw a ray that extends to the left from the point \( t = 15 \), indicating all temperatures less than 15 degrees Fahrenheit.
This graph visually displays the temperatures that fall within or below the critical value of 15 degrees Fahrenheit.
### Summary of Graph:
- The x-axis represents the temperature.
- A closed circle is at \( t = 15 \).
- A shaded ray extends leftward towards negative infinity, indicating all temperatures less than or equal to 15 degrees are included in the solution.
Feel free to adjust the graph as needed based on the tools or medium you're using to create the visual representation.