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 can calculate their reading rates.

Jimmy's Reading Rate:

• He reads 15 pages in 5 minutes.
• To find the rate, we divide the number of pages by the number of minutes:

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

Carlo's Reading Rate:

• He reads 12 pages in 6 minutes.
• Similarly, we calculate his rate:

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

Summary of Proportional Relationships:

• Jimmy's constant of proportionality (reading rate) is 3 pages per minute.
• Carlo's constant of proportionality (reading rate) is 2 pages per minute.

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

Answer 2

Make it shorter

Answer 3

Jimmy's reading rate is 3 pages per minute, while Carlo's is 2 pages per minute. Therefore, Jimmy reads faster than Carlo.