The value of the constant of proportionality k is 1.3 if the data represents a proportional relationship between x and y.
It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
We have data given:
x 2.5 2.7 2.9 3.1
y 3.25 3.51 3.77 4.03
y ∝ x
y = kx
3.25 = k(2.5)
k = 1.3
Thus, the value of the constant of proportionality k is 1.3 if the data represents a proportional relationship between x and y.
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