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Function domain word problems

Aiden is a spice trader. He charges $5\$5 for 11 kilogram of cumin seeds, which is the smallest amount he sells. The largest amount of cumin seeds Aiden can sell is 10001000 kilograms, which cost $2000\$2000.
p(w)p(w) models the price (in dollars) of ww kilograms of cumin seeds in Aiden's shop.
Which number type is more appropriate for the domain of pp?
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What's the appropriate domain?
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