



 
Josh, I can help get you started. In my mind I see the piecewise function as its graph so I am going to approach the problem graphically. If his sales are $20,000 or less his salary is $1600 for the month. Salary in dollars against sales in thousands of dollars If his sales are between $20,000 and $30,000 then his salary for the month increases in a linear fashion at 2% of sales over $20,000. Thus if he sells $30,000 worth of goods his salary will be
Salary in dollars against sales in thousands of dollars If his sales are between $30,000 and $50,000 then his salary for the month increases in a linear fashion at 4% of sales over $30,000. Thus if he sells $50,000 worth of goods his salary will be
Salary in dollars against sales in thousands of dollars And so on. But you want this in algebraic form so let s be his sales in dollars and M(s) be his salary for the month in dollars. You know that is s < $20,00 them M(s) = $1600. If his sales are between $20,000 and $30,000, that is $20,000 < s ≤ $30,000 then he receives $1600 plus 2% of sales over $20,000, ie $1600 + 0.02(s  $2,000). Hence for sales up to $30,000 I get Can you complete it now? Harley  


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