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)BoldItalicUnderlineIncrease indentDecrease indent
To find the constant of proportionality, we can use the formula k = y/x, where k represents the constant of proportionality, y represents the dependent variable (number of pages read), and x represents the independent variable (time in minutes).
For Jimmy, the constant of proportionality is k = 15/5 = 3.
For Carlo, the constant of proportionality is k = 12/6 = 2.
To compare the proportional relationships, we can say that for every minute, Jimmy reads 3 pages while Carlo reads 2 pages.
To find the constant of proportionality, we need to determine the ratio of the number of pages to the amount of time for each person. Let's start with Jimmy:
Jimmy reads 15 pages in 5 minutes, so the ratio of pages to time is 15/5 = 3 pages/minute.
Now let's find the constant of proportionality for Carlo:
Carlo reads 12 pages in 6 minutes, so the ratio of pages to time is 12/6 = 2 pages/minute.
So the constant of proportionality for Jimmy is 3 pages/minute, while the constant of proportionality for Carlo is 2 pages/minute.
To compare the proportional relationships, we can say that for every 1 minute, Jimmy reads 3 pages, while Carlo reads 2 pages. In other words, Jimmy reads at a faster rate than Carlo.
To find the constant of proportionality for Jimmy, we divide the number of pages he reads (15) by the time it takes him (5 minutes):
Constant of proportionality for Jimmy = 15 / 5 = 3
To find the constant of proportionality for Carlo, we divide the number of pages he reads (12) by the time it takes him (6 minutes):
Constant of proportionality for Carlo = 12 / 6 = 2
Therefore, the constant of proportionality for Jimmy is 3, while the constant of proportionality for Carlo is 2.
To compare the proportional relationships, we can say that for every 1 minute, Jimmy reads 3 pages, while Carlo reads 2 pages. This means that Jimmy reads at a faster rate than Carlo.