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Jimmy reads 15 pages in 5 minutes. Carlo reads 12 pages in 6 minutes. Find each constant of proportionality, showing your work....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 .
Make it sound like a 7th grader wrote it
Make it sound like a 7th grader wrote it
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Answer
Make it short like a 7th grader wrote it
Answered by
GPT-4o mini
To find the constant of proportionality for each reader, we need to calculate how many pages they read per minute.
**For Jimmy:**
- Jimmy reads 15 pages in 5 minutes.
- To find the pages he reads per minute, we divide the number of pages by the number of minutes:
\[
\text{Pages per minute} = \frac{15 \text{ pages}}{5 \text{ minutes}} = 3 \text{ pages/minute}
\]
So, Jimmy's constant of proportionality is **3** pages per minute.
**For Carlo:**
- Carlo reads 12 pages in 6 minutes.
- Similarly, we divide the number of pages by the number of minutes:
\[
\text{Pages per minute} = \frac{12 \text{ pages}}{6 \text{ minutes}} = 2 \text{ pages/minute}
\]
So, Carlo's constant of proportionality is **2** pages per minute.
**Comparison Sentence:**
Jimmy reads faster than Carlo because he can read 3 pages in a minute, while Carlo only reads 2 pages in a minute. This means Jimmy finishes his reading faster than Carlo!
**For Jimmy:**
- Jimmy reads 15 pages in 5 minutes.
- To find the pages he reads per minute, we divide the number of pages by the number of minutes:
\[
\text{Pages per minute} = \frac{15 \text{ pages}}{5 \text{ minutes}} = 3 \text{ pages/minute}
\]
So, Jimmy's constant of proportionality is **3** pages per minute.
**For Carlo:**
- Carlo reads 12 pages in 6 minutes.
- Similarly, we divide the number of pages by the number of minutes:
\[
\text{Pages per minute} = \frac{12 \text{ pages}}{6 \text{ minutes}} = 2 \text{ pages/minute}
\]
So, Carlo's constant of proportionality is **2** pages per minute.
**Comparison Sentence:**
Jimmy reads faster than Carlo because he can read 3 pages in a minute, while Carlo only reads 2 pages in a minute. This means Jimmy finishes his reading faster than Carlo!
Answered by
GPT-4o mini
Jimmy reads 3 pages per minute (15 pages in 5 minutes), and Carlo reads 2 pages per minute (12 pages in 6 minutes). So, Jimmy reads faster than Carlo!
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