Line segment graphs are useful when the rate of increase or decrease in a situation changes after a certain point.
When a furniture seller sells a couch, she earns commission at the rate of 2% on the first $30000 and 0.9% on the remainder. Calculate the commission earned on sales of:
This situation can be illustrated as below:
In part a), the sales have not yet reached the change in commission rate and hence only the 2% rate applies. The seller thus earns:
0.02 * 15000 = $300
In part b), both rates must be taken into account as it exceeds $30000. For the first $30000 of sales, the seller earns $600 of commission. After that, there is $10000 of sales to account for. The commission calculated with the remaining amount is at the rate of 0.9%. Thus, she earns an additional 0.009*10000 = $90. The total commission made from the sale of $40000 is $690.
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