The Smith siblings were employed at 4 different jobs during their 8-week summer vacation. The table shows the weekly income made by the Smith siblings, where x is the number of hours worked. Sade
was out of work 1 week and Blake missed 2 weeks of work over the 8-week period.
Ashley
5x + 8
Blake
6x + 15
Sade
10x
Taryn
8x + 25
The total income for all 4 siblings over the 8 weeks was:
o 210x+354 dollars
0 29x+48 dollars
O 232x+384 dollars
O 35x+63 dollars

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.