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)

and put the answer in your own words

Answer 1

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

For Jimmy:

• He reads 15 pages in 5 minutes.
• To find the rate, we use the formula:
  \[ \text{Rate} = \frac{\text{Pages}}{\text{Time}} = \frac{15 \text{ pages}}{5 \text{ minutes}} = 3 \text{ pages per minute} \]

For Carlo:

• He reads 12 pages in 6 minutes.
• Similarly, we calculate his rate:
  \[ \text{Rate} = \frac{\text{Pages}}{\text{Time}} = \frac{12 \text{ pages}}{6 \text{ minutes}} = 2 \text{ pages per minute} \]

Comparing the Proportional Relationships: Jimmy has a reading rate of 3 pages per minute, while Carlo reads at a rate of 2 pages per minute. This means that Jimmy reads faster than Carlo.