a) See attached diagram.
b) The slope can be obtained by the formula:
Now
The greatest increases were from 2012 till 2013 years and the least increases were from 2007 till 2008 years.
c) Using graphing calculator, the equation of the line (black line in the diagram) is
d) Since the slopes are different, this line is not straight. From the given data you can predict that the "best fit" is quadratic function.
e) In 2017, find
Remember that an extraneous solution of an equation is a solution that emerges from the algebraic process of solving the equation but is not a valid solution of the equation.
First, we are going to solve our equation algebraically:
Step 1 simplify the equation:
Step 2 subtract 5 from both sides of the equation:
Step 3 square both sides of the equation:
Next, we are going to replace our solution in our original equation and check if it is a valid solution:
Since 9 is not equal to 1, is not valid solution of the equation; therefor it is an extraneous solution.
We can conclude that the correct answer is: x = 16, solution is extraneous