Question

As a salesperson at trading cards unlimited Justin receives a monthly base pay Plus commission on all of that he sells. If he sells for $100 worth of merchandise in one month he is paid $500 if he sells $700 of merchandise in one month he is paid $575 find Justin’s salary when he sells $2500 worth of merchandise

Answer 1

If he sells $2500 worth of merchandise, his salary is $800.

Explanation:

You can find a function that gives you his salary as a function of the sales.

You have two points: (100, 500) and (700, 575).

y = mx + b

m = (575 - 500)/(700 - 100) = 75/600 = 0.125

Now use point (100, 500) to find b.

y = mx + b

500 = 0.125(100) + b

500 = 12.5 + b

b = 487.5

y = 0.125x + 487.5

If he sells $2500, then x = 2500.

y = 0.125x + 487.5

y = 0.125(2500) + 487.5

y = 800

If he sells $2500 worth of merchandise, his salary is $800.