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As a salesperson at Trading Cards 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 $292. If he sells $900 worth of merchandise in one month he is paid $407.

Find Justins salary when he sells $3,200 worth of merchandise.

Question

I WILL MEDAL! 
As a salesperson at Trading Cards 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 $292. If he sells $900 worth of merchandise in one month he is paid $407.

Find Justins salary when he sells  $3,200 worth of merchandise.

aihberkhan · Answer

Okay.

Let

x = monthly base pay

r = the commission as a decimal

y = the amount paid monthly

If he sells $400 worth of merchandise in one month, he is paid $292:

$$292 = x + r*400$$

If he sells $900 of merchandise in one month, he is paid $407:

$$407 = x + r*900$$

We have the following system of equations:

$$x + r*400 = 292$$
$$x + r*900 = 407$$
$$x = $200$$

r = 0.23 or 23% commission

$$y = 200 + 0.23x$$

When he sells $3,200 worth of merchandise we have x = $3,200 and we need to find y:

$$y = 200 + 0.23*3200$$
$$y = $936$$

Justin's salary when he sells $3,200 worth of merchandise is $936.

aihberkhan · Answer

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anonymous · Answer

Thankyou!! I got the answer! @AihberKhan

aihberkhan · Answer

No problem! 

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