Question

as a sales person at Trending Card Unlimited, Justin receives a monthly base pay plus commission on all that he sells. If he sells $400 worth of merchandise in one month, he is paid $500. If he sells $700 worth of merchandise in one month, he is paid $575. Find justin's salary if he sells $2500 worth of merchandise

Answer 1

$1025

Explanation:

We can use the 2-point form of the equation of a line to write a function that gives Justin's salary as a function of his sales.

We start with (sales, salary) = (400, 500) and (700, 575)

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The 2-point form of the equation of a line is ...

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

salary = (575 -500)/(700 -400)(sales -400) +500

salary = 75/300(sales -400) +500

For sales of 2500, this will be ...

salary = (1/4)(2500 -400) +500 = (2100/4) +500 = 1025

Justin's salary after selling $2500 in merchandise is $1025.