Question

read the description of a proportional relationship.
roxanne is measuring the diameter and the radius of different - sized circles.
there is a proportional relationship between the radius of the circle in inches, ( x ),
and the diameter of the circle in inches, ( y ).
a circle with a 12 - inch radius has a diameter of 24 inches. write the equation for the
relationship between ( x ) and ( y ).
( y=)

Explanation:

Step1: Recall the proportional relationship formula

The general form of a proportional relationship is \(y = kx\), where \(k\) is the constant of proportionality.

Step2: Find the constant of proportionality \(k\)

Given \(x = 12\) (radius) and \(y = 24\) (diameter). Substitute into \(y=kx\): \(24 = k\times12\). Solve for \(k\): \(k=\frac{24}{12}=2\).

Answer:

\(y = 2x\)