Question

Jimmy reads 15 pages in 15 minutes. Carlo reads 12 pages in 6 minutes. find each constant of the proportionality, show your work , then write a sentence to compare the proportional relationships .
( write in 2 sentences ) write like a 6th grader

Answer 1

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

**Jimmy's constant of proportionality:**
- Pages read: 15 pages
- Time taken: 15 minutes

So, we calculate:
\[ \text{Constant} = \frac{\text{Pages}}{\text{Time}} = \frac{15 \text{ pages}}{15 \text{ minutes}} = 1 \text{ page per minute} \]

Now, let's find Carlo's constant of proportionality. We do the same thing:

**Carlo's constant of proportionality:**
- Pages read: 12 pages
- Time taken: 6 minutes

So, we calculate:
\[ \text{Constant} = \frac{\text{Pages}}{\text{Time}} = \frac{12 \text{ pages}}{6 \text{ minutes}} = 2 \text{ pages per minute} \]

Now, let's compare them. Jimmy reads 1 page per minute, while Carlo reads 2 pages per minute, so Carlo reads twice as fast as Jimmy. This means Carlo can finish his book faster than Jimmy can finish his book.