Answer:
The rate of change of relationship 'b' is 2.5 times greater than the rate of change of relationship 'a'
Step-by-step explanation:
The given parameters are;
The function representing relationship 'a' is y = 9·x
Some values of relationship 'b' are;
(0, 0), (3, 34.5), (5, 57.5), and (8, 92)
For direct proportionality of relationship 'b' we have;
y = k₂·x
∴ k₂ = y/x
∴ k₂ = 34.5/3 = 23/2
57.5/5 = 23/2
92/8 = 23/2
k₂ = 23/2
Therefore, the direct proportionality relationship of relationship 'a' is y = 9·x
∴ k₁ = 9
Therefore, the rate of change of relationship 'b' is k₂ - k₁ = (23/2) - 9 = 2.5 times greater than the rate of change of relationship 'a'.
