Question

which of the following situations can be modeled with a linear function A. The area y, of a square with side x b. The area, y, of a circle with radius x c.the volume of, y, of a cube with an edge x d. The circumference, y, of a circle with radius x

Answer 1

Option D. The circumference

Explanation:

A). Area 'y' of square with side 'x' will be represented by

y = (Side)²

y = x²

Since the degree of this polynomial function is 2, It's a quadratic equation.

B). Area of the circle = πr²

y = π(x)²

Since the degree of this polynomial function is 2, It's a quadratic equation.

C). Volume of a cube = (Side)³

y = x³

Since the degree of this polynomial function is 3, It's not a linear function.

D). Circumference of the circle = 2πr

y = 2π(x)

Since the degree of this polynomial function is 1, it's a linear function.