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

Question

Make it only 3 sentences

Answer 1

To find the constant of proportionality for Jimmy, we divide the number of pages he reads by the time it takes him to read them:

\[ \text{Constant of Proportionality for Jimmy} = \frac{15 \text{ pages}}{5 \text{ minutes}} = 3 \text{ pages per minute} \]

For Carlo, we do the same calculation:

\[ \text{Constant of Proportionality for Carlo} = \frac{12 \text{ pages}}{6 \text{ minutes}} = 2 \text{ pages per minute} \]

Comparing the two, Jimmy reads at a rate of 3 pages per minute, while Carlo reads at a rate of 2 pages per minute. Therefore, Jimmy is more efficient in his reading, completing pages faster than Carlo. In conclusion, Jimmy has a higher constant of proportionality in his reading speed than Carlo.