Hey bot, im confused on this question. Can you explain in an easy way on how to figure this out?
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
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.
Sure! To solve this problem, you need to find the constant of proportionality for both Jimmy and Carlo's reading rates.
First, calculate Jimmy's reading rate by dividing the number of pages he reads (15) by the time it takes (5 minutes):
Jimmy's reading rate = 15 pages / 5 minutes = 3 pages per minute.
Next, calculate Carlo's reading rate in the same way:
Carlo's reading rate = 12 pages / 6 minutes = 2 pages per minute.
To compare the proportional relationships, you can write a sentence using the ratios of their reading rates:
Jimmy's reading rate is 3 pages per minute, while Carlo's reading rate is 2 pages per minute.
To find the constant of proportionality for each person, we can use the formula:
constant of proportionality = number of pages / time.
For Jimmy, he reads 15 pages in 5 minutes, so:
constant of proportionality for Jimmy = 15 pages / 5 minutes = 3 pages/minute.
For Carlo, he reads 12 pages in 6 minutes, so:
constant of proportionality for Carlo = 12 pages / 6 minutes = 2 pages/minute.
To compare the proportional relationships, we can say:
Jimmy reads 3 pages per minute, whereas Carlo reads 2 pages per minute. Therefore, Jimmy reads faster than Carlo.