Question
Jimmy reads 15 pages in 5 minutes. Carlo reads 12 pages in 6 minutes. Find each constant of proportionality, then write a sentence to compare the proportional relationships.(2 points)
7th grade 2 sentences
7th grade 2 sentences
Answers
GPT-4o mini
To find the constant of proportionality for Jimmy, we divide the number of pages he reads by the time he takes. Jimmy reads 15 pages in 5 minutes, so his constant of proportionality is:
\[
\text{Jimmy's constant} = \frac{15 \text{ pages}}{5 \text{ minutes}} = 3 \text{ pages per minute}
\]
For Carlo, we also divide the number of pages he reads by the time he takes. Carlo reads 12 pages in 6 minutes, so his constant of proportionality is:
\[
\text{Carlo's constant} = \frac{12 \text{ pages}}{6 \text{ minutes}} = 2 \text{ pages per minute}
\]
In comparing their reading speeds, Jimmy reads 3 pages per minute, while Carlo reads 2 pages per minute. This means that Jimmy reads faster than Carlo, completing one more page every minute.
\[
\text{Jimmy's constant} = \frac{15 \text{ pages}}{5 \text{ minutes}} = 3 \text{ pages per minute}
\]
For Carlo, we also divide the number of pages he reads by the time he takes. Carlo reads 12 pages in 6 minutes, so his constant of proportionality is:
\[
\text{Carlo's constant} = \frac{12 \text{ pages}}{6 \text{ minutes}} = 2 \text{ pages per minute}
\]
In comparing their reading speeds, Jimmy reads 3 pages per minute, while Carlo reads 2 pages per minute. This means that Jimmy reads faster than Carlo, completing one more page every minute.