How to Calculate Piece Salary for Workers Between 400 and 800 Pieces?

[Lobotomy]

hello
this is probably very simple, but I am very tired and its friday afternoon =)

this is the case:
the salary is based on how many pieces you produce. the slowest worker produce 400 pieces per day and the fastest 800.

the slowest worker should get a minimum wage of 50 dollars per day and the fastest should not exceed 70dollars since the company can't afford a proportional salary scale.

so how to calculate the evenly distributed the salary per piece for all workers in between 400 and 800??

the piece wage range can be plotted with the salary range using wolfram alpha.
where x is the pieces, and y is the salary
http://www97.wolframalpha.com/input/?i=plot[y/x,{x,400,800},{y,50,70}]

use this if link does not work

plot[y/x,{x,400,800},{y,50,70}]

the evenly distributed piece salary should be a line from the bottom left corner to the top right corner... but how to plot this line in 2D?

should be simple e?

 

[pat_connell]

quation like y = mx + b where m is the slope and b is the y-intercept solve for m and b using the two points given: (400,50) and (800,70) m = (70 - 50)/(800 - 400) = 0.1 b = 50 - 0.1*400 = 10 so the equation for the line is y = 0.1x + 10 which means the piece wage should be 0.1 dollar per piece.