Question 1115878
his total compensation is equal to s + c.


s is his salary.
c is his commission.
t is his total compensation.


the formula becomes t = s + c


when c = .20 * merchandise sold, the formula becomes t = s + .20 * m, where m is themerchandise sold.


when he makes 400 and sells 1000 worth of merchandise, the formula becomes 400 = s + .20 * 1000


simplify this to get 400 = s + 200


subtract 200 from both sides of this equation to get 400 - 200 = s


solve for s to get s = 200.


the salary will be the same every week.


what will be different is the commission.


for example, if they sell 2000 worth of merchandise each week, then the formula becomes t = 200 + .20 * 2000.


this results in t = 200 + 400 = 600.


total compensation for the week will then be 600 rather than 400.


backtracking and solving for s, you get 600 = s + .20 * 200 which results in 600 = s + 400 which results in s = 200.


you're asked to derive the formula describing the relationship between totel salary and sales.


that formula, based on the variables used here, would be t = s + .2 * m, where t = total compensation and s equal weekly salary and m = value of merchandise sold and .2 is the proportion of total merchandise sold that goes to the salesman.