Hey bot, im confused on this question. Can you explain in an easy way on how to figure this out?

Question

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

Answer 1

To find the constant of proportionality, we need to compare the number of pages read to the time taken for each person.

For Jimmy, he reads 15 pages in 5 minutes. We can set up a proportion by dividing the number of pages by the time: 15/5 = x/1 (since we want to find the constant of proportionality). Simplifying this proportion gives us x = 3. So, for Jimmy, the constant of proportionality is 3.

Next, let's find the constant of proportionality for Carlo. He reads 12 pages in 6 minutes. Setting up the same proportion: 12/6 = x/1, simplifying gives us x = 2. So, for Carlo, the constant of proportionality is 2.

Now, to compare the proportional relationships, we can say that for every 1 minute, Jimmy reads 3 pages, while Carlo reads 2 pages. In simpler terms, Jimmy reads more pages per minute compared to Carlo.