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) 2 paragragh

Answer 1

To find the constant of proportionality for each reader, we will calculate their reading rates in pages per minute.

For Jimmy: Jimmy reads 15 pages in 5 minutes. We can find his reading rate (constant of proportionality) by dividing the number of pages he reads by the time it takes:

\[ \text{Jimmy's reading rate} = \frac{15 \text{ pages}}{5 \text{ minutes}} = 3 \text{ pages per minute} \]

For Carlo: Carlo reads 12 pages in 6 minutes. Similarly, we calculate his reading rate:

\[ \text{Carlo's reading rate} = \frac{12 \text{ pages}}{6 \text{ minutes}} = 2 \text{ pages per minute} \]

Now we can compare their reading rates. Jimmy has a reading rate of 3 pages per minute, while Carlo reads at a rate of 2 pages per minute. This indicates that Jimmy reads faster than Carlo. Specifically, for every minute they read, Jimmy completes 3 pages, while Carlo completes only 2 pages. Therefore, Jimmy's reading speed shows a proportional relationship that allows him to read more pages than Carlo in the same amount of time, highlighting that he maintains a higher constant of proportionality.