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For each order, a certain company charges a delivery fee \(d\) that depends on the total price \(x\) of the merchandise

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by M7MBA » Sat Jun 05, 2021 4:36 am

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For each order, a certain company charges a delivery fee \(d\) that depends on the total price \(x\) of the merchandise in the order, where \(d\) and \(x\) are in dollars and

\(\begin{cases} d = 3 \;\text{if} \; 0<x\le 100,\\
d = 3 + \dfrac{x-100}{100} \; \text{if} \; 100<x \le 500,\\
d = 7 \; \text{if} \; x>500.\end{cases}\)

If George placed two separate orders with the company, was the total price of the merchandise in the two orders greater than \(\$499?\)

(1) The delivery fee for one of the two orders was \(\$3.\)
(2) The sum of the delivery fees for the two orders was \(\$10.\)

Answer: B

Source: GMAT Prep
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