Astudent used the following table of values and stated that the function described by the tables was a linear function

The question is missing the table. So, it is attached below.

The function is not linear. The student didn't evaluate the rate of change for the given points on the function.

Step-by-step explanation:

Given:

From the table, the set of points of the function are:

(-1, -5), (0, 0), (2,5), (3, 10), and (4, 15)

A function is said to be linear if the rate of change of the function is always a constant.

Rate of change for any two points is given as:

Here, the rate of change for the points (-1, -5) and (0, 0) is given as:

Now, the rate of change for the points (0, 0) and (2, 5) is given as:

Hence, we can observe that, the rate of change is different for the given points. Hence, it is not a linear function.

Therefore, the student didn't evaluate the rate of change for the given points on the function.

correct answers below:

statement #3: proof- ang is congruent to ang ecd : angles are congruent.  

step-by-step explanation:

1: the missing angles in statement #3  

a.) acb  

reason- the reason why the answer is acb is because angle ecd and angle acb are both the same size *that's what the word congruent means this is really simple.  

2: the missing word in reason #3  

c.) vertical  

reason- the reason why the answer is vertical is because the angles in that diagram on figure 2 is slanted, which is vertical, and the e and a both lay on vertical lines. along with the other's, but e and a are the 2 main points you want to focus on. and c is kind of like your starting point, because c is for both angles, not just one.  

i hope that was and understanding.