Question

What is the constant of proportionality in the equation y=2.5x?

constant of proportionality =

Answer 1

2.5
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Answer 2

Answer:

constant of proportionality = 2.5

Step-by-step explanation:

Given: the equation y=2.5x

To find: Finding the constant of proportionality:

Calculation:

We know that the constant of proportionality $k = \frac{y}{x}$  where x and y are two variable quantities directly proportional to each other.

So, in the given equation $y = 2.5x$

Constant of proportionality, $k= \frac{2.5x}{x}$

$k = 2.5$

Hence, the constant of proportionality in $y = 2.5x$ is $2.5$

The constant of proportionality

The proportionality constant is the ratio of two directly proportional quantities. When two quantities increase and decrease at the same pace, they are directly proportional. The proportionality constant k is provided by k=y/x, where y and x are two directly proportional values.

• The proportionality constant is defined as k = y/x. This is the same as the slope of a straight line passing through the origin, m = y/x.
• Using the slope of the line equation, one may calculate the value of m, which will be the same as the value of k, or the constant or proportionality.

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