document.write( "Question 114273This question is from textbook algebra 1
\n" ); document.write( ": 1. define a variable and write an equation to model each situation. then solve.\r
\n" ); document.write( "\n" ); document.write( "the rate to rent a certain truck is $55 per day and 20 cents per mile. your family pays $80 to rent this truck for one day. how many miles did your family drive?\r
\n" ); document.write( "\n" ); document.write( "2. 9j+3=3[3j+1]\r
\n" ); document.write( "\n" ); document.write( "3. 1 over four[k-1]=10\r
\n" ); document.write( "\n" ); document.write( "4. 5n+1/over 8=1/2
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Algebra.Com's Answer #83163 by solver91311(24713)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "To model this situation in general you need three variables, C to represent the total rate or cost (this is the dependent variable), d to represent the number of days the truck was rented, and m to represent the number of miles driven. (d and m are independent variables).\r
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\n" ); document.write( "\n" ); document.write( "Let's translate the words into symbols:\r
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\n" ); document.write( "\n" ); document.write( "The rate (C) is (=) $55 per day (55d) and (+) $0.20 per mile (.2m), or putting it all together:\r
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\n" ); document.write( "\n" ); document.write( "\"C=55d%2B.2m\"\r
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\n" ); document.write( "\n" ); document.write( "(Do you understand why I used $0.20 to represent 20 cents? If not, write me a note)\r
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\n" ); document.write( "\n" ); document.write( "In your situation, you are given that C = $80, and that d = 1 day. So we can write:\r
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\n" ); document.write( "\n" ); document.write( "\"80=55%2A1%2B.2m\"\r
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\n" ); document.write( "\n" ); document.write( "Now solve:\r
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\n" ); document.write( "\n" ); document.write( "\".2m=80-55\"
\n" ); document.write( "\".2m=25\"
\n" ); document.write( "\"m=125\"\r
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\n" ); document.write( "\n" ); document.write( "So the family drove the truck 125 miles.\r
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\n" ); document.write( "\n" ); document.write( "Last step -- VERY IMPORTANT, Check your answer.\r
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\n" ); document.write( "\n" ); document.write( "\"55%2A1%2B.2%2A125=55%2B25=80\"Check! \r
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\n" ); document.write( "\n" ); document.write( "Hope that helps,
\n" ); document.write( "John
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