Based on the given table:
| x | y |
|-----|-----|
| 2 | 4 |
| 3 | 6 |
| 5 | 10 |
| 7 | 14 |
| 11 | 22 |
The value of the coefficient 'k' can be calculated using the formula y=kx. In this formula, 'k' is the ratio of y to x, which can be calculated by dividing y by x. From the values provided in the table, we can take the first pair of x and y values, which are 2 and 4 respectively, and calculate 'k' as follows: 4 divided by 2 is equal to 2.
So, the coefficient 'k' in the direct proportion y=kx for the given table equals 2.
Next, we are asked to fill in the given table, using the direct proportion y=kx. To do this, we multiply the x value by the constant 'k' that we have just calculated, which is 2. Here are the results:
| x | y |
|-----|------|
| 2 | 4 |
| 3 | 6 |
| 5 | 10 |
| 7 | 14 |
| 11 | 22 |
| 13 | 26 |
| 17 | 34 |
| 19 | 38 |
| 23 | 46 |
| 29 | 58 |
To conclude, we have found that the coefficient 'k' is 2 and we have filled in the table with y values, calculated using the coefficient k and x values.
#SJP11