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Math · Advanced Math
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The table to the right shows the volume discounts offered by a company, where x is the volume of a purchase in dollars. Assume that the volume discounts in the table apply to the entire purchase. That is, if the volume x satisfies $300sx$1,000, the entire purchase is discounted 4%. Answer a) and b) below Volume Discount (Excluding tax) Volume($x) Discount Amount $300S$<$1,000 $1,000sx$3,000 $3,000sxs$5,000 $5,000sx 490 5% 6% 10% a) If x is the volume of a purchase before the discount is applied, write a piecewise definition for the discounted price D(x) of this purchase if 0 sx <300 if 300 sx1,000 D(x) 0.95x if 1,000 sx <3,000 if 3,000 sx 5,000 0.90x 5,000 sx

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