Solved: The revenue equation for a certain brand of

Chapter 4, Problem 4.1.92

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The revenue equation for a certain brand of toothpaste is y = 2.5x, where x is the number of tubes of toothpaste sold and y is the total income for selling x tubes. The cost equation is y = 0.9x + 3000, where x is the number of tubes of toothpaste manufactured and y is the cost of producing x tubes. The following set of axes shows the graph of the cost and revenue equations. Use this graph for Exercises 83 through 88.The amount of U.S. federal government income y (in billionsof dollars) for fiscal year x, from 2006 through 2009 (x = 0represents 2006), can be modeled by the linear equationy = -95x + 2406. The amount of U.S. federal governmentexpenditures y (in billions of dollars) for the same periodcan be modeled by the linear equation y = 285x + 2655.(Source: Based on data from Financial Management Service,U.S. Department of the Treasury, 20062009)a. What does the slope of each equation tell you about thepatterns of U.S. federal government income and expenditures?b. Solve this system of equations. (Round your final resultsto the nearest whole numbers.)c. Did expenses ever equal income during the period from2006 through 2009?