Question: Tell whether each function is linear or non-linear. Choices:

A. Function A is non-linear and Function B is non-linear.

B. Function A is linear and Function B is non-linear.

C. Function A is linear and Function B is linear.

D. Function A is non-linear and Function B is linear.

Just to avoid some confusion: the first picture is a graph of function A, and the second picture is a graph of function B.

D. Function A is non-linear and Function B is linear.

Step-by-step explanation:

A good way to find out if a function is linear is by graphing it. If you graph it and it is a straight line, then it is linear.

So, let's graph the given points from the table of Function A and see if it forms a straight line. When you connect the dots, it's not straight, so Function A is non-linear.

Now let's look at function B. We can graph that too with the given information from the equation - the slope is -1 and the y-intercept is 5. (If you are a bit confused on how to graph it, don't hesitate to ask!) It does form a straight line, so Function B is linear.