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)

Question

The answer is correct. The student made no errors while solving. The answer shows that the student used problem-solving skills and reasoning. All work is shown or explained.

Answer 1

To find the constant of proportionality for each reader, we will calculate the reading rate (pages per minute) for both Jimmy and Carlo.

1. Calculate Jimmy's reading rate:

Jimmy reads 15 pages in 5 minutes. The constant of proportionality \( k_J \) for Jimmy can be calculated as follows:

\[ k_J = \frac{\text{pages}}{\text{minutes}} = \frac{15 \text{ pages}}{5 \text{ minutes}} = 3 \text{ pages/minute} \]

2. Calculate Carlo's reading rate:

Carlo reads 12 pages in 6 minutes. The constant of proportionality \( k_C \) for Carlo can be calculated as follows:

\[ k_C = \frac{\text{pages}}{\text{minutes}} = \frac{12 \text{ pages}}{6 \text{ minutes}} = 2 \text{ pages/minute} \]

Summary of work:

• Jimmy's constant of proportionality: \( k_J = 3 \text{ pages/minute} \)
• Carlo's constant of proportionality: \( k_C = 2 \text{ pages/minute} \)

Comparison sentence: Jimmy reads faster than Carlo, with a reading rate of 3 pages per minute compared to Carlo's rate of 2 pages per minute.

Answer 2

make it in 3 sentences

Answer 3

Jimmy's reading rate is 3 pages per minute, while Carlo's reading rate is 2 pages per minute. This means that Jimmy reads faster than Carlo. As a result, Jimmy is able to cover more pages in the same amount of time compared to Carlo.