The relation between the cost of a diamond and its weight is linear. In looking at two diamonds, we find that one of the diamonds weighs 0.7 carats and costs $3,340, while the other diamond weighs 0.8 carat and costs $4,065. Find a linear function that relates the price of a diamond, C, to its weight, x, treating weight as the independent variable. Predict the price of a diamond that weighs 0.77 carat. If a diamond costs $5300, what do you think it should weigh?

The relation between the cost of a diamond and its weight is linear. In looking at two diamonds, we find that one of the diamonds weighs 0.7 carats and costs $3,340, while the other diamond weighs 0.8 carat and costs $4,065. Find a linear function that relates the price of a diamond, C, to its weight, x, treating weight as the independent variable. Predict the price of a diamond that weighs 0.77 carat. If a diamond costs $5300, what do you think it should weigh?

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter8: Functions

Section8.CT: Test

Problem 19CT

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Question

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Find a linear function that relates the price of a diamond, C, to its weight, x, treating weight as the independent variable.
Predict the price of a diamond that weighs 0.77 carat.
If a diamond costs $5300, what do you think it should weigh?

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