To find the constant of proportionality (k), we need to find the ratio of y values to x values in the table.
For x = 2, y = 12
For x = 3, y = 32
For x = 8, y = 40
Now, let's calculate the ratios:
12/2 = 6
32/3 = 10.67
40/8 = 5
It seems there are no constant ratios for pairs of x and y values in the table. This means these values are not in direct proportionality. In order to determine the correct equation and constant of proportionality, we need additional data points.
Find the constant (k) of proportionality in the table . what equation represents the table
table:
|x |2 | 3 |8 |10|
|y |12 | 32 | 40|
3 answers
clearly, the 2 is missing its image. If we expand the table to be
|x |2 | 3 |8 |10|
|y |8 |12 | 32 | 40|
then y = 4x
|x |2 | 3 |8 |10|
|y |8 |12 | 32 | 40|
then y = 4x
Apologies for the oversight.
Given the expanded table:
|x |2 | 3 | 8 | 10|
|y |8 | 12 | 32 | 40|
We can see that the ratio of y to x values is constant and equal to 4 (y is four times x). Therefore, y = 4x represents this proportionality, with the constant of proportionality (k) being 4.
Given the expanded table:
|x |2 | 3 | 8 | 10|
|y |8 | 12 | 32 | 40|
We can see that the ratio of y to x values is constant and equal to 4 (y is four times x). Therefore, y = 4x represents this proportionality, with the constant of proportionality (k) being 4.