A small amount of crude oil is used for manufacturing plastic. Scientists estimate that about 3 fluid ounces of crude oil is used to manufacture 1 million plastic bottles. So the number of fluid ounces of crude oil y used to manufacture plastic bottles is directly proportional to the number of bottles x that are manufactured. (a) Find the equation of proportionality that relates y to x. (b) In 2006, about 29 billion plastic bottles were used in the United States. Use the equation found in part (a) to determine the number of barrels of crude oil that were used to manufacture these plastic bottles. (One barrel of crude oil contains 42 gallons of oil, and each gallon contains 128 fluid ounces. Round your answer to one decimal place.)

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.