Jimmy reads 15 pages in 5 minutes. Carlo reads 12 pages in6 minutes. Find each constant of proportionallity, showing your work. Then write a scentence to compare the porportional relastionships.

Answer 1

To find the constants of proportionality for both Jimmy and Carlo, we can determine their reading speeds in pages per minute.

For Jimmy:

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

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

For Carlo:

Carlo reads 12 pages in 6 minutes. Similarly, we find his rate by dividing the number of pages by the number of minutes:

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

Comparison Sentence:

Jimmy's reading speed is 3 pages per minute, which is faster than Carlo's speed of 2 pages per minute, indicating that Jimmy reads more pages in the same amount of time compared to Carlo.