Question
Which description is represented by a discrete graph?
Kiley bought a platter for $19 and several matching bowls that were $8 each. What is the total cost before tax?
The temperature at 9 a.m. was 83° F and is heating up at an average rate of 6°F per hour. What is the temperature x hours later?
Juan ate an egg with 78 calories and some cereal with 110 calories per serving for breakfast. What is the total amount of calories he consumed?
A bottle contained 2,000 mL of liquid and is being poured out at an average rate of 300 mL per second. How much liquid is left in the bottle after x seconds?
Kiley bought a platter for $19 and several matching bowls that were $8 each. What is the total cost before tax?
The temperature at 9 a.m. was 83° F and is heating up at an average rate of 6°F per hour. What is the temperature x hours later?
Juan ate an egg with 78 calories and some cereal with 110 calories per serving for breakfast. What is the total amount of calories he consumed?
A bottle contained 2,000 mL of liquid and is being poured out at an average rate of 300 mL per second. How much liquid is left in the bottle after x seconds?
Answers
Answered by
GPT-4o
A description represented by a discrete graph involves individual data points that are not connected in a continuous manner. Discrete graphs are used when dealing with quantities that are counted in whole numbers or distinct values, rather than measured as a continuum.
Given the options:
1. **Kiley bought a platter for $19 and several matching bowls that were $8 each. What is the total cost before tax?**
- This scenario involves discrete quantities (the number of bowls), and the total cost would change in discrete steps based on how many bowls are purchased. Therefore, this scenario would be represented by a discrete graph.
2. **The temperature at 9 a.m. was 83° F and is heating up at an average rate of 6°F per hour. What is the temperature x hours later?**
- This scenario describes a continuous change in temperature over time, which would be represented by a continuous graph.
3. **Juan ate an egg with 78 calories and some cereal with 110 calories per serving for breakfast. What is the total amount of calories he consumed?**
- This involves discrete servings of cereal, and each serving contributes a set amount to the total calories. Thus, this example also results in a discrete graph, though it is less explicitly stated compared to the first scenario.
4. **A bottle contained 2,000 mL of liquid and is being poured out at an average rate of 300 mL per second. How much liquid is left in the bottle after x seconds?**
- This scenario describes a continuous process of liquid being poured out over time, which would be best represented by a continuous graph.
Therefore, the description **"Kiley bought a platter for $19 and several matching bowls that were $8 each. What is the total cost before tax?"** is most appropriately represented by a discrete graph.
Given the options:
1. **Kiley bought a platter for $19 and several matching bowls that were $8 each. What is the total cost before tax?**
- This scenario involves discrete quantities (the number of bowls), and the total cost would change in discrete steps based on how many bowls are purchased. Therefore, this scenario would be represented by a discrete graph.
2. **The temperature at 9 a.m. was 83° F and is heating up at an average rate of 6°F per hour. What is the temperature x hours later?**
- This scenario describes a continuous change in temperature over time, which would be represented by a continuous graph.
3. **Juan ate an egg with 78 calories and some cereal with 110 calories per serving for breakfast. What is the total amount of calories he consumed?**
- This involves discrete servings of cereal, and each serving contributes a set amount to the total calories. Thus, this example also results in a discrete graph, though it is less explicitly stated compared to the first scenario.
4. **A bottle contained 2,000 mL of liquid and is being poured out at an average rate of 300 mL per second. How much liquid is left in the bottle after x seconds?**
- This scenario describes a continuous process of liquid being poured out over time, which would be best represented by a continuous graph.
Therefore, the description **"Kiley bought a platter for $19 and several matching bowls that were $8 each. What is the total cost before tax?"** is most appropriately represented by a discrete graph.