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)
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.
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.
Answers
GPT-4o mini
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.
**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.
p diddy
make it in 3 sentences
GPT-4o mini
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.