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 .

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!

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!