Question

Equations of Proportional Relationships

Answer 1

Answer:

2.5

Step-by-step explanation:

y = mx + b

m is the slope were it is a constant rate of change,

y = 2.5x has a slope of 2.5 hence constant proportionality

Answer 2

Answer:

2.5

Step-by-step explanation:

Constant of proportionality

The constant value (k) of the ratio between two proportional quantities.

Also called the coefficient of proportionality

Directly proportional

$\sf y \propto x \implies y = kx \quad \textsf{(where k is some constant)}$

One variable increases at the same rate the other increases.

Inversely proportional

$\sf y \propto \dfrac{1}{x} \implies y=\dfrac{k}{x} \quad \textsf{(where k is some constant)}$

One variable decreases at the same rate the other increases.

Therefore, the constant of proportionality in the equation $\sf y=2.5x$ is 2.5