milly reads 20 pages in 4 minutes sara reads 12 pages in 3 minutes find each constant of proportionality and write a direct variation eqyation then
To find the constant of proportionality, we can divide the number of pages by the number of minutes for each person.
For Milly: 20 pages / 4 minutes = 5 pages/minute
For Sara: 12 pages / 3 minutes = 4 pages/minute
Therefore, the constant of proportionality for Milly is 5 and for Sara is 4.
The direct variation equation is y = kx, where y represents the number of pages and x represents the number of minutes.
For Milly, the equation is y = 5x.
For Sara, the equation is y = 4x.
To find the constant of proportionality and write a direct variation equation, we need to determine the relationship between the number of pages read and the time taken for both Milly and Sara.
Milly reads 20 pages in 4 minutes, so the constant of proportionality can be found by dividing the number of pages by the time taken:
Constant of proportionality for Milly = 20 pages / 4 minutes = 5 pages/minute
Sara reads 12 pages in 3 minutes, so the constant of proportionality for Sara can be found by dividing the number of pages by the time taken:
Constant of proportionality for Sara = 12 pages / 3 minutes = 4 pages/minute
Now we can write the direct variation equation using the constant of proportionality:
For Milly: P = 5t
For Sara: P = 4t
In these equations, P represents the number of pages read, and t represents the time taken in minutes.
To find the constant of proportionality and write the direct variation equation, we need to determine the relationship between the number of pages and the time it takes to read them for both Milly and Sara.
For Milly, we know that she reads 20 pages in 4 minutes. To find her constant of proportionality, we divide the number of pages by the time:
Constant of proportionality for Milly = 20 pages / 4 minutes = 5 pages/minute
For Sara, we know that she reads 12 pages in 3 minutes. We can follow the same calculation to find her constant of proportionality:
Constant of proportionality for Sara = 12 pages / 3 minutes = 4 pages/minute
Now we can write the direct variation equation using the constant of proportionality:
For Milly:
Pages = Constant of proportionality * Time
Pages = 5 * Time
For Sara:
Pages = Constant of proportionality * Time
Pages = 4 * Time
So, the direct variation equation for Milly is Pages = 5 * Time and for Sara it is Pages = 4 * Time.