Question

Which of the following is in a proportional relationship?A.The circumference and diameter of a circleB. The area and the length of a side of a squareC. The perimeter and the width of a rectangleD. Fahrenheit and Celsius

Answer 1

A proportional relationship between two variables can be express as:

`y=kx`

Let's write the relationships given so we can determine which is proportional.

The circumference and a diameter are related by:

`C=\pi d`

The area and the length of a side of a square are related by:

`A=l^2`

The perimeter and the width of a rectangle are related by the equation:

`P=2l+2w`

The Fahrenheit and Celsius are related by:

`F=(9)/(5)C+32`

By looking at all the expression we notice that onle the first one is a proportional relationship.

Therefore, the circumference and diameter of a circle