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 be right

Answer 1

To find the constant of proportionality for both Jimmy and Carlo, we can calculate their reading rates in pages per minute.

For Jimmy:

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

To find Jimmy's reading rate (constant of proportionality), we divide the number of pages by the time taken:

\[ \text{Jimmy's reading rate} = \frac{\text{Pages read}}{\text{Time taken}} = \frac{15 \text{ pages}}{5 \text{ minutes}} = 3 \text{ pages per minute} \]

For Carlo:

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

Now, we calculate Carlo's reading rate:

\[ \text{Carlo's reading rate} = \frac{\text{Pages read}}{\text{Time taken}} = \frac{12 \text{ pages}}{6 \text{ minutes}} = 2 \text{ pages per minute} \]

Summary of Constants of Proportionality:

• Jimmy's constant of proportionality: \(3 \text{ pages per minute}\)
• Carlo's constant of proportionality: \(2 \text{ pages per minute}\)

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

Answer 2

no extra formatting and shorter

Answer 3

Jimmy reads at a rate of 3 pages per minute (15 pages in 5 minutes), while Carlo reads at a rate of 2 pages per minute (12 pages in 6 minutes). Thus, Jimmy reads faster than Carlo.