A car salesman earns $800 per month plus a 10% commission on the value of sales he makes for the mon | MathCelebrity Forum

A car salesman earns $800 per month plus a 10% commission on the value of sales he makes for the mon

math_celebrity

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A car salesman earns $800 per month plus a 10% commission on the value of sales he makes for the month. If he is aiming to earn a minimum of $3200 a month, what is the possible value of sales that will enable this?

to start, we have:
  • Let the salesman's monthly sales be s.
  • With a 10% discount as a decimal of 0.1
  • The phrase a minimum also means at least or greater than or equal to. This tells us we want an inequality
  • We want 10% times s + 800 per month is greater than or equal to 3200

We want the inequality:
0.1s + 800 >= 3200

To solve for s, we type this inequality into our search engine and we get:
s >= 24000
 
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