Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN: 9781305071742

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: Cengage Learning

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Question

Linear equation: 6x-4y= -12

Find the x-intercept and y-intercept of its graph

Does its graph pass through (2,6)

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Suppose the worldās oil reserves in 2014 are 1,820 billion barrels. If, on average, the total reserves are decreasing by 25 billion barrels of oil each year: a. Give a linear equation for the remaining oil reserves,R, in terms of t, the number of years since now. b. Seven years from now, what will the oil reserves be? c. If the rate at which the reserves are decreasing is constant, when will the worldās oil reserves be depleted?

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A clothing business finds there is a linearrelationship between the number of shirts, n, it can sell and the price, p, it can charge per shirt.In particular, historical data shows that 1,000 shirtscan be sold at a price of 30, while 3,000 shirts canbe sold at a price of 22. Find a linear equation inthe form p(n)=mn+b that gives the price p they can charge for n shirts.

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The Federal Helium Reserve held about 16 billioncubic feet of helium in 2010 and is being depleted byabout 2.1 billion cubic feet each year. a. Give a linear equation for the remaining federalhelium reserves, R, in terms of t, the number of years since 2010. b. In 2015, what will the helium reserves be? c. If the rate of depletion doesnāt change, in what year will the Federal Helium Reserve be depleted?

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