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..

Answer 1

To find the constant of proportionality for both Jimmy and Carlo, we need to determine the number of pages read per minute for each of them.

For Jimmy:

• Jimmy reads 15 pages in 5 minutes.
• To find the constant of proportionality (pages per minute), we divide the number of pages by the number of minutes:

\[ \text{Constant of proportionality for Jimmy} = \frac{15 \text{ pages}}{5 \text{ minutes}} = 3 \text{ pages per minute} \]

For Carlo:

• Carlo reads 12 pages in 6 minutes.
• Similarly, we divide the number of pages by the number of minutes:

\[ \text{Constant of proportionality for Carlo} = \frac{12 \text{ pages}}{6 \text{ minutes}} = 2 \text{ pages per minute} \]

Now we have the constants of proportionality:

• Jimmy: 3 pages per minute
• Carlo: 2 pages per minute

Comparison Sentence: Jimmy reads faster than Carlo, with a reading speed of 3 pages per minute compared to Carlo's reading speed of 2 pages per minute.