anonymous
  • anonymous
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.
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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AihberKhan
  • AihberKhan
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
  • AihberKhan
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anonymous
  • anonymous
Thankyou!! I got the answer! @AihberKhan

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AihberKhan
  • AihberKhan
No problem! @skyyxlar

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