Question

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.(2

Answer 1

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

**For Jimmy:**
- He reads 15 pages in 5 minutes.
- The constant of proportionality (rate of reading) can be calculated as follows:

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

**For Carlo:**
- He reads 12 pages in 6 minutes.
- The constant of proportionality can be calculated in the same way:

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

**Comparison of the Proportional Relationships:**
Jimmy reads at a faster rate of 3 pages per minute compared to Carlo, who reads at a rate of 2 pages per minute. Therefore, Jimmy reads at a velocity that is 1 page per minute faster than Carlo.