Etsy has become an extremely popular site where locals can sell homemade items. Sam creates custom dice trays in about 4 hours that includes custom leather colors, boarders and logos. Sams wife Xenia can also create these custom trays but she takes 6 hours to complete one. If both Sam and Xenia decide to work on a custom dice tray together how long would it take them to complete it working as a team? Create a rational equation and solve it making sure to show ALL of your work.

one way is to plot 2 points and connect them which is what the answer choices seem to be doing

it seems to be using the y intercept and the slope

y=mx+b, m=slope, b=y-intercept (where the line hits the y axis)

slope=rise/run

y-intercept is where the line croses the y axis which is the y value where x=0

you seem to have given the wrong slope (you didn't put a number in front of te x, it should be 2/3 or 3/2 looking at the answer options)

y=? x-1

m=? because of your fault

b=-1

so it has a slope of ? and y intercept of -1, meaning it pases through (0,-1)

so draw point (0,-1) (so answer is one of the first 2 option)

if slope is 2/3, then go up 2 and right 3 then draw line through those 2 points

if slope is 3/2, then go up 3 and right 2 then draw line through those 2 points

x< -17/2 hope this

1. 37

2. 22

3. 44

4. 66

step-by-step explanation: