To find the constant of proportionality for both Jimmy and Carlo, we will calculate the rate at which each person reads pages and express it as pages per minute.
Jimmy's Reading Rate
- Pages read: 15 pages
- Time taken: 5 minutes
Calculating Jimmy's reading rate:
\[ \text{Rate}_{\text{Jimmy}} = \frac{\text{Pages read}}{\text{Time taken}} = \frac{15 \text{ pages}}{5 \text{ minutes}} = 3 \text{ pages per minute} \]
Carlo's Reading Rate
- Pages read: 12 pages
- Time taken: 6 minutes
Calculating Carlo's reading rate:
\[ \text{Rate}_{\text{Carlo}} = \frac{\text{Pages read}}{\text{Time taken}} = \frac{12 \text{ pages}}{6 \text{ minutes}} = 2 \text{ pages per minute} \]
Constants of Proportionality
- Jimmy's constant of proportionality: 3 pages per minute
- Carlo's constant of proportionality: 2 pages per minute
Comparison of Proportional Relationships
Jimmy reads at a faster rate (3 pages per minute) than Carlo (2 pages per minute), indicating that Jimmy is more efficient at reading than Carlo.
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