Hey bot, I'm confused on this question, could you please help me by explaining how to figure it 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 divide the number of pages by the time taken for each person.
For Jimmy, the constant of proportionality would be 15 pages / 5 minutes = 3 pages/minute.
For Carlo, the constant of proportionality would be 12 pages / 6 minutes = 2 pages/minute.
To compare the proportional relationships between Jimmy and Carlo, we can say that Jimmy reads 3 pages per minute while Carlo reads 2 pages per minute. This means Jimmy reads at a faster rate than Carlo.
Sure! To find the constant of proportionality for each person, we need to use the formula:
constant of proportionality = number of pages / number of minutes
For Jimmy, the constant of proportionality will be:
constant of proportionality (Jimmy) = 15 pages / 5 minutes = 3 pages/minute
For Carlo, the constant of proportionality will be:
constant of proportionality (Carlo) = 12 pages / 6 minutes = 2 pages/minute
Now, to compare the proportional relationships, we can say that Jimmy reads 3 pages every minute, while Carlo reads 2 pages every minute. From this, we can conclude that Jimmy reads faster than Carlo.
Certainly! To find the constant of proportionality, we need to determine how the number of pages read by each person relates to the time it takes. For this, we'll use the formula k = y/x, where k is the constant of proportionality, y is the number of pages read, and x is the time taken.
Let's start by finding the constant of proportionality for Jimmy. We know that Jimmy reads 15 pages in 5 minutes. So, we can plug these values into the formula:
k = 15/5
k = 3
Therefore, the constant of proportionality for Jimmy is 3.
Now, let's calculate the constant of proportionality for Carlo. We're given that Carlo reads 12 pages in 6 minutes. Plugging these values into the formula:
k = 12/6
k = 2
Hence, the constant of proportionality for Carlo is 2.
To compare the proportional relationships, we can say that for every minute, Jimmy reads 3 pages, while Carlo reads 2 pages. This means that Jimmy reads more pages in the same amount of time compared to Carlo, indicating that he is a faster reader.