document.write( "Question 293431: I missed one class due to illness and now I am very lost. I think I need help determining which formulas to use for this word problem. I have plotted a few different ways and not sure if it makes sense. Here is the question:
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document.write( "Irvin's parents allow him to use the family car provided he pay for the gas, which averages $1.60 per gallon. The car averages 20 miles per gallon. To help Irvin earn gas money, this parents pay him $10 a week to do chores. Determine and then plot a weekly savings equation for Irvin that represents earnings minus money spent on gas. Write a physical interpretation for both intercepts of the savings equation.\r
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document.write( "I have tried having x=miles and y=allowance. I got a slope of 12.5 (which was cents per gallon of gas) I would appreciate any help on this.
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document.write( " Thank you so much.\r
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Algebra.Com's Answer #211831 by richwmiller(17219) You can put this solution on YOUR website! Where is the equation? \n" ); document.write( "What are you talking about with 12.5 cents per gallon? We are told it is $1.60 a gallon not $.125 per gallon. \n" ); document.write( "What did you do with x=miles and y = allowance?\r \n" ); document.write( "\n" ); document.write( "We are told \" Determine and then plot a weekly savings equation for Irvin that represents earnings minus money spent on gas. Write a physical interpretation for both intercepts of the savings equation.\" \n" ); document.write( "Each week he is given $10 but he spends 1.6 per gallon \n" ); document.write( "x=gallons \n" ); document.write( "y= savings \n" ); document.write( "earnings =$10 \n" ); document.write( "minus gas expense \n" ); document.write( "y=10-(1.60*x) \n" ); document.write( "The problem told you how to set it up. \n" ); document.write( "\"plot a weekly savings equation for Irvin that represents earnings minus money spent on gas.\" \n" ); document.write( "The y intercept is the earnings. If he doesn't buy any gas (x) he can save $10 \n" ); document.write( "So if x=0 then y=10\r \n" ); document.write( "\n" ); document.write( "If he has no savings (y=0) then the cost of gas used up all his allowance \n" ); document.write( "So if y=0 then 1.60*x=10 which is the x intercept of x=10/1.60=10/1.6=100/16 \n" ); document.write( " |