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.(2 points)
Help please
To find each constant of proportionality, we can set up a proportion using the given information.
For Jimmy's proportion, we can write it as:
15 pages / 5 minutes = x pages / 1 minute
Cross-multiplying, we get:
15 minutes = 5x
x = 15/5
x = 3
Therefore, the constant of proportionality for Jimmy's proportion is 3.
For Carlo's proportion, we can write it as:
12 pages / 6 minutes = y pages / 1 minute
Cross-multiplying, we get:
12 minutes = 6y
y = 12/6
y = 2
Therefore, the constant of proportionality for Carlo's proportion is 2.
To compare the proportional relationships, we can say that for every 1 minute, Jimmy reads 3 pages while Carlo reads 2 pages. Thus, Jimmy reads at a faster rate than Carlo.
can you write
To compare the proportional relationships, we can say that for every 1 minute, Jimmy reads 3 pages while Carlo reads 2 pages. Thus, Jimmy reads at a faster rate than Carlo.
in 2 sentences
In terms of proportional relationships, Jimmy reads 3 pages per minute while Carlo reads 2 pages per minute. This indicates that Jimmy reads at a faster rate than Carlo.
Thanks bot so much
You're welcome! I'm glad I could help. If you have any more questions, feel free to ask.
To find the constant of proportionality for each person, we need to divide the number of pages read by the number of minutes taken.
For Jimmy, we divide 15 pages by 5 minutes:
Constant of proportionality for Jimmy = 15 / 5 = 3
For Carlo, we divide 12 pages by 6 minutes:
Constant of proportionality for Carlo = 12 / 6 = 2
Now, to compare the proportional relationships, we can write a sentence. Since the constant of proportionality represents the number of pages read per minute, we can say: "Jimmy reads 3 pages per minute, while Carlo reads 2 pages per minute."