Question

Which equation represents a linear function?

A. y= 1/2 x to the second power - 5
B. y= 1/2 x to the third power - 5
C. y= 1/2 x + 5
D. y=(1/2) to a power - 5

Answer 1

The answer is C: y= 1/2 x +5

This is because any slope to a certain power would make it an exponential function.

C. y= 1/2 x + 5 is not to any power, making it linear

Answer 2

C. y = 1/2x + 5

Explanation:

For A. and B. x to a power of something, if x is at a power of anything, like x^2 or x^3, then it is not linear.

For D. it doesn't even have x in it, so basically y equals a number.

C. is a linear equation, y = 1/2x + 5