Question

A graph has a constant of proportionality of 2.54. Let y represent centimeters and x represent inches. What is the unit rate of the relationship? Enter your answer, as a decimal, in the box

Answer 1

Answer: 2.54 is the rate of the given equation.

Explanation:

Let x is the independent variable and y is the dependent variable.

Since, By the definition of proportionality,

y = k x

Where k is the constant of proportionality.

And, Here k = 2.54

Thus, the equation of line is,

y = 2.54 x

since, rate of the equation is the slope of the line.

And, the general equation of line

y = m x +c

Where, m is the slope of the line.

By comparing the equation of line y = 2.54 x with this.

The slope of the line = 2.54

Therefore, 2.54 is the rate of the given equation.