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Final answer:The altitude a (in feet) of a plane minutes after takeoff is given by a = 3400t + 600. The plane will reach an altitude of 21,000 feet 6 minutes after takeoff.Explanation:The altitude a (in feet) of a plane minutes after takeoff is given by a = 3400t + 600. To find out how many minutes after takeoff the plane will be at an altitude of 21,000 feet, we set a = 21,000 and solve for t.First, you isolate the variable by subtracting 600 from both sides of the equation: 21000 - 600 = 3400t, which simplifies to 20400 = 3400t.Then, you divide both sides of the equation by 3400 to solve for t: t = 20400/3400, which simplifies to t =6 minutes. This means that the plane will be at 21,000 feet 6 minutes after takeoff.Learn more about Solving algebraic equations here:brainly.com/question/31303181#SPJ11...