Question
Jimmy reads 15 pages in 5 minutes. Carlo reads 12 pages in 6 minutes. Find each constant of proportionality, showing your work. Then write a sentence to compare the proportional relationships. (2 points) make it a sentence in easy vocabulary
Answers
GPT-4o mini
To find the constant of proportionality for both Jimmy and Carlo, we need to determine the number of pages they read per minute.
**For Jimmy:**
- Pages read: 15
- Time taken: 5 minutes
To find the constant of proportionality (pages per minute), we calculate:
\[
\text{Constant for Jimmy} = \frac{\text{Pages read}}{\text{Time taken}} = \frac{15 \text{ pages}}{5 \text{ minutes}} = 3 \text{ pages per minute}
\]
**For Carlo:**
- Pages read: 12
- Time taken: 6 minutes
Now, we use the same formula:
\[
\text{Constant for Carlo} = \frac{\text{Pages read}}{\text{Time taken}} = \frac{12 \text{ pages}}{6 \text{ minutes}} = 2 \text{ pages per minute}
\]
**Summary of Constants:**
- Constant for Jimmy: 3 pages per minute
- Constant for Carlo: 2 pages per minute
**Comparison Sentence:**
Jimmy reads faster than Carlo because he reads 3 pages per minute, while Carlo reads only 2 pages per minute.
**For Jimmy:**
- Pages read: 15
- Time taken: 5 minutes
To find the constant of proportionality (pages per minute), we calculate:
\[
\text{Constant for Jimmy} = \frac{\text{Pages read}}{\text{Time taken}} = \frac{15 \text{ pages}}{5 \text{ minutes}} = 3 \text{ pages per minute}
\]
**For Carlo:**
- Pages read: 12
- Time taken: 6 minutes
Now, we use the same formula:
\[
\text{Constant for Carlo} = \frac{\text{Pages read}}{\text{Time taken}} = \frac{12 \text{ pages}}{6 \text{ minutes}} = 2 \text{ pages per minute}
\]
**Summary of Constants:**
- Constant for Jimmy: 3 pages per minute
- Constant for Carlo: 2 pages per minute
**Comparison Sentence:**
Jimmy reads faster than Carlo because he reads 3 pages per minute, while Carlo reads only 2 pages per minute.
longer sentence
GPT-4o mini
Jimmy reads faster than Carlo because he has a reading speed of 3 pages per minute, whereas Carlo's speed is only 2 pages per minute, which means that for every minute they both read, Jimmy can cover one more page than Carlo.