Question

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 points)

Answer 1

To find the constant of proportionality for both Jimmy and Carlo, we need to calculate the rate at which each of them reads (pages per minute).

For Jimmy: Jimmy reads 15 pages in 5 minutes.

We can calculate his rate of reading as follows:

\[ \text{Rate of Jimmy} = \frac{\text{Pages}}{\text{Time}} = \frac{15 \text{ pages}}{5 \text{ minutes}} = 3 \text{ pages per minute} \]

For Carlo: Carlo reads 12 pages in 6 minutes.

Similarly, we can calculate his rate of reading:

\[ \text{Rate of Carlo} = \frac{\text{Pages}}{\text{Time}} = \frac{12 \text{ pages}}{6 \text{ minutes}} = 2 \text{ pages per minute} \]

Comparison of Proportional Relationships: Jimmy reads at a constant rate of 3 pages per minute, while Carlo reads at a constant rate of 2 pages per minute. Therefore, Jimmy reads faster than Carlo.