Question

Which equation represents a linear function that is proportional?

Answer 1

Answer is A. Can rule out b and c. Also d isn't proportional

Answer 2

Answer:

A) f(x) = 1/3x

Step-by-step explanation:

You can rule out B and C-

B is a quadratic function, seeing as how x is being squared, and C is an absolute value function. Neither of these are linear so you don't have to worry about it here.

That leaves us with A and D, which are both linear.

Linear functions usually take the form of f(x) = mx + b. In a proportional linear function, b = 0.

So with that in mind, you should see that the b value for f(x) = 2x + 11 is 11, which should rule D out as well.

That leaves you with f(x) = 1/3x. As you can see, there's no b value in this function, which means b = 0 and the function is proportional.

Hope this helped :D