A hand rail is installed along the stairs of a new house as shown in the figure. The table shows the distance, in inches of the top rail f(x) and bottom rail g(x) from the floor for the middle of each numbered step x. Determine the slope of each rail. Are the top and bottom rails parallel?
g(x)
&
х
1
2
3
43
49
55
8
14
20
Click the icon to view the hand rail
Select the correct choice below and fill in the answer box(es) to complete your choice.
A. The slope of the top rail is and the slope of the bottom rail is Since the slopes are different, the top and bottom rails are not parallel
(Simplify your answers.)
B. Since both rails have a slope of the top and bottom rails are parallel
(Simplify your answer.)
OC. The slope of the top rail is and the slope of the bottom rail is Since the product of their slopes is not - 1. the top and bottom rails are not parallel
(Simplify your answers.)
D. The slope of the top railis and the slope of the bottom railis Since the product of their slopes is - 1 the top and bottom rails are parallel
(Simplify your answers.)