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Forming a linear function from a story

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The relation between the cost of a certain gem and its weight is linear. In looking at two gems, we find that one of the gems weighs 0.2 carats and costs $3,548, while the other gem weights 0.5 carats and costs $4,374. Find C(x), the linear function that relates the price of gem to its weight x, treating weight as the independent variables. (Use integers for any numbers in the expression. Round to the nearest integer as needed.)

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This solution forms a linear function from the story provided.

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