Fuel Mixture Five hundred gallons of 89 octane gasoline is obtained by mixing 87 octane
Chapter 7, Problem 52(choose chapter or problem)
Fuel Mixture Five hundred gallons of 89 octane gasoline is obtained by mixing 87 octane gasoline with 92 octane gasoline. (a) Write a system of equations in which one equation represents the amount of final mixture required and the other represents the amounts of 87 and 92 octane gasolines in the final mixture. Let and represent the numbers of gallons of 87 octane and 92 octane gasolines, respectively. (b) Use a graphing utility to graph the two equations in part (a) in the same viewing window. As the amount of 87 octane gasoline increases, how does the amount of 92 octane gasoline change? (c) How much of each type of gasoline is required to obtain the 500 gallons of 89 octane gasoline?
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