document.write( "Question 1129307: You need to buy a new refrigerator for your house. There are two models that you are comparing. A standard model cost $400 and uses $8 of electricity per month. An energy efficient model cost $800 and uses $4 of electricity per month.
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document.write( "1. Write a linear equation that represents the total cost of the standard model of the refrigerator. Use C for the total cost and t for time measured in months.
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document.write( "2, Write a linear equation that represents the total cost of energy efficient model of the refrigerator. Use C for the total cost and t for time measured in months.
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document.write( "3. Label both axis and then graph the system of equations from questions 1 and 2. Indicate and label the solution to the system of equations on the graph.
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document.write( "4.Solve the linear system from questions 1 and 2 using the substitution method.
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document.write( "5. Solve the linear system from questions 1 and 3 using the elimination method.
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document.write( "6. In terms of these two refrigerators, what does the intersections of the lines in question 3 represent?
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document.write( "7. How are the solution in 3,4,and 5 related?why?
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document.write( "8. Which refrigerator would you buy? Justify your answer. \n" );
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Algebra.Com's Answer #745868 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! 1.C=400+8t \n" ); document.write( "2.C=800+4t \n" ); document.write( "3. \n" ); document.write( "4. 400+8t=800+4t, substituting for C \n" ); document.write( "4t=400 \n" ); document.write( "t=100 months \n" ); document.write( "5.C=400+8t \n" ); document.write( "-C=-800-4t \n" ); document.write( "0=-400+4t \n" ); document.write( "4t=400 \n" ); document.write( "t=100, C=1200 \n" ); document.write( "6.Intersection is the breakeven point. \n" ); document.write( "7. The solutions are the same graphically, with substitution and elimination. \n" ); document.write( "8. If one is going to have the refrigerator for more than 8 1/3 years, the more expensive one would be cheaper. If one were not going to have it for that long, the cheaper one would save money although it would use more electricity. \n" ); document.write( " |