Question

Find the constant (k) of proportionality in the table . what equation represents the table
table:
|x |2 | 3 |8 |10|
|y |12 | 32 | 40|

Answer 1

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

Answer 2

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.

Answer 3

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.