document.write( "Question 1183511: The cost of renting a car is $45 /wk plus $0.25 /mi traveled during that week. An equation to represent the cost would be y=45+0.25x , where x is the number of miles traveled.\r
\n" ); document.write( "\n" ); document.write( "a. What is your cost if you travel 55 mi?
\n" ); document.write( "The cost is $ \r
\n" ); document.write( "\n" ); document.write( "b. If your cost was $66.00 , how many miles were you charged for traveling?
\n" ); document.write( "You were charged for traveling
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\n" ); document.write( "c. Suppose you have a maximum of $100 to spend for the car rental. What would be the maximum number of miles you could travel?\r
\n" ); document.write( "\n" ); document.write( "The maximum number of miles you could travel is
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Algebra.Com's Answer #813872 by Theo(13342)\"\" \"About 
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the cost is given by the equation y = 45 + .25 * x
\n" ); document.write( "y is the total cost.
\n" ); document.write( "x is the number of miles traveled.\r
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\n" ); document.write( "\n" ); document.write( "if you travel 55 miles, the equation becomes y = 45 + .25 * 55.
\n" ); document.write( "the total cost is then y = 58.75.\r
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\n" ); document.write( "\n" ); document.write( "if your cost was 66 dollars, the eqution becomes 66 = 45 + .25 * x.
\n" ); document.write( "subtract 45 from both sides of the equation to get:
\n" ); document.write( "21 = .25 * x.
\n" ); document.write( "divide both sides of the equation by .25 to get:
\n" ); document.write( "21 / .25 = x
\n" ); document.write( "solve for x to get:
\n" ); document.write( "x = 84 miles.\r
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\n" ); document.write( "\n" ); document.write( "if you have a maximum of 100 dollars to spend for the rental, the equation becomes an inequality which becomes 100 >= 45 + .25 * x.
\n" ); document.write( "subtract 45 from both sid3es of the equation to get:
\n" ); document.write( "55 >= .25 * x
\n" ); document.write( "divide both sides of the inequality by .25 to get:
\n" ); document.write( "220 >= x.
\n" ); document.write( "this says you can drive up to 220 miles if all you have to spend is 100 dollars.
\n" ); document.write( "you could drive less, but that's the maximum number of miles you could drive.\r
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\n" ); document.write( "\n" ); document.write( "if you rent a car and don't travel any miles, the cost will be 45 dollars.\r
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\n" ); document.write( "\n" ); document.write( "the following graph shows all these possibilities.\r
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