Question

Equations of Proportional Relationships

Assignment Active
Practice representing proportional relationships in different
ways.
Assignment
What is the constant of proportionality in the equation y = 2.5x?

Answer 1

2.5

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

2.5

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 (1)/(x) \implies y=(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