What equation represents this function? Write an equation in terms of π that shows how we can use the independent variable, d, to find the dependent variable, C.

Question

d
Input Output Arrow
πd
Input Output Arrow
C

Answer 1

The equation that represents the function where the independent variable \( d \) (which we can assume represents the diameter of a circle) leads to the dependent variable \( C \) (the circumference of the circle) is given by:

\[ C = \pi d \]

In this equation:

• \( C \) is the circumference.
• \( d \) is the diameter.
• \( \pi \) is a constant approximately equal to 3.14159.

This equation shows that the circumference of a circle is directly proportional to its diameter, with \( \pi \) as the constant of proportionality.