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.
the equation that models this relationship is y = 2x.
what is the radius of a circle with a diameter of 20 inches? write your answer as a whole number or decimal.
inches
submit

Explanation:

Step1: Identify known values

We know the equation \( y = 2x \), where \( y \) is the diameter and \( x \) is the radius. We are given \( y = 20 \) (diameter is 20 inches).

Step2: Substitute and solve for \( x \)

Substitute \( y = 20 \) into the equation \( y = 2x \), we get \( 20 = 2x \). To solve for \( x \), divide both sides by 2: \( x=\frac{20}{2}=10 \).

Answer:

10