Answer
y = 0.2x − 7
Step-by-step explanation:
Find the slope first by subtracting (10, -5) and (5, -6) in slope formula, this will equal 1/5 or 0.2
Then find the y-intercept which is the point that crosses the y-axis, in this case -7 is the y-intercept
Finally format in y=mx + b for slope-intercept form
y=0.2x-7
By definition we have that the average rate of change of the function is:

Evaluating the function for the complete interval we have that the AVR is given by:

Rewriting we have:

Simplifying the expression we have:


Answer:
the average rate of change of the function defined by the table is:

Answer:
The first one is the only one in simplest form.