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 short and like a 7th grader wrote it)

Answer 1

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

Jimmy's Calculation:

• Pages read: 15 pages
• Time taken: 5 minutes

We calculate the rate at which Jimmy reads: \[ \text{Constant of proportionality (Jimmy)} = \frac{\text{Pages read}}{\text{Time taken}} = \frac{15 \text{ pages}}{5 \text{ minutes}} = 3 \text{ pages per minute} \]

Carlo's Calculation:

• Pages read: 12 pages
• Time taken: 6 minutes

Now we calculate the rate at which Carlo reads: \[ \text{Constant of proportionality (Carlo)} = \frac{\text{Pages read}}{\text{Time taken}} = \frac{12 \text{ pages}}{6 \text{ minutes}} = 2 \text{ pages per minute} \]

Comparison:

• Jimmy reads at a rate of 3 pages per minute.
• Carlo reads at a rate of 2 pages per minute.

Sentence to Compare:

Jimmy reads faster than Carlo because he reads 3 pages each minute while Carlo only reads 2 pages per minute.

Answer 2

Make it shorter

Answer 3

Jimmy reads 3 pages per minute, while Carlo reads 2 pages per minute. So, Jimmy reads faster than Carlo.