Given the following table,
x 4 3 2
y 6 8 12
find the constant of proportionality, k =
To find the constant of proportionality, we need to find the ratio between the y-values and the x-values. A constant of proportionality is determined by the relationship between x and y in a proportion equation of the form y = kx.
For the given table, we can calculate the ratios between y and x:
For the first set of values: y / x = 6 / 4 = 1.5
For the second set of values: y / x = 8 / 3 ≈ 2.67
For the third set of values: y / x = 12 / 2 = 6
Since the ratios are not consistent, it means that there is no constant of proportionality (k) for this table.