Harry made fruit punch using 2 parts orange juice to 2 parts soda water. the amount of soda water that harry used is directly proportional to the amount of orange juice he used. how many cups of orange juice should harry use with 18 cups of soda water?

y=kx

soda water=k orange juice

2=2k

k=1

18=1 × orange juice

orange juice=18/1

orange juice=18 cups

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'.