document.write( "Question 1169107: Dogs between 2 to 13 years old, age at an average rate of 4 human years for every dog year. The equation describes the relationship between the dogs age x in dog-years and the dogs age in human-years y.\r
\n" ); document.write( "\n" ); document.write( "a) Write the equation in y = mx +b form\r
\n" ); document.write( "\n" ); document.write( "b)What is the age in human-years of a 7 year old dog?\r
\n" ); document.write( "\n" ); document.write( "c) A friend tells you their dog is as old as their 60 year old grandparents. How old is the dog in dog-years?
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Algebra.Com's Answer #851441 by MathLover1(20849)\"\" \"About 
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Dogs between \"2\" to \"13\" years old, age at an average rate of \"4\" human years for every dog year. \r
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\n" ); document.write( "\n" ); document.write( "a)\r
\n" ); document.write( "\n" ); document.write( "Write the equation in \"y+=+mx+%2Bb\" form\r
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\n" ); document.write( "\n" ); document.write( "\"y=mx+%2B+b+\" where the dogs age is \"x\", and the dogs age in human-years is \"y\"\r
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\n" ); document.write( "\n" ); document.write( "if given that \"x=2\", then \"y=2%2A4=8\"\r
\n" ); document.write( "\n" ); document.write( "\"8=m%2A2+%2B+b+\" ......eq.1\r
\n" ); document.write( "\n" ); document.write( "if given that \"x=13\", then \"y=13%2A4=52\"\r
\n" ); document.write( "\n" ); document.write( "\"52=m%2A13+%2B+b+\" ......eq.2\r
\n" ); document.write( "\n" ); document.write( "solve this system:\r
\n" ); document.write( "\n" ); document.write( "\"8=2m+%2B+b+\" ......eq.1\r
\n" ); document.write( "\n" ); document.write( "\"52=13m+%2B+b+\" ......eq.2
\n" ); document.write( "_____________________________________ subtract eq.1 from eq.2\r
\n" ); document.write( "\n" ); document.write( "\"52-8=13m-2m+%2B+b-b+\"
\n" ); document.write( "\"44=11m+\"
\n" ); document.write( "\"m=44%2F11+\"
\n" ); document.write( "\"m=4+\"\r
\n" ); document.write( "\n" ); document.write( "substitute in eq.1 to calculate b\r
\n" ); document.write( "\n" ); document.write( "\"8=2%2A4+%2B+b+\" ......eq.1
\n" ); document.write( "\"8=8+%2B+b+\"
\n" ); document.write( "\"8-8+=+b+\"
\n" ); document.write( "\"+b=0+\"\r
\n" ); document.write( "\n" ); document.write( "your equation is\r
\n" ); document.write( "\n" ); document.write( "\"y=4x++\" \r
\n" ); document.write( "\n" ); document.write( "b)\r
\n" ); document.write( "\n" ); document.write( "What is the age in human-years of a \"7+\"year old dog?\r
\n" ); document.write( "\n" ); document.write( "\"x=7\"\r
\n" ); document.write( "\n" ); document.write( "\"y=4%2A7++\"\r
\n" ); document.write( "\n" ); document.write( "\"y=28++\" ->the age in human-years \r
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\n" ); document.write( "\n" ); document.write( "c)\r
\n" ); document.write( "\n" ); document.write( "A friend tells you their dog is as old as their \"60\" year old grandparents. How old is the dog in dog-years?\r
\n" ); document.write( "\n" ); document.write( "\"y=60\"\r
\n" ); document.write( "\n" ); document.write( "\"60=4x+\"\r
\n" ); document.write( "\n" ); document.write( "\"60%2F4=x+\"\r
\n" ); document.write( "\n" ); document.write( "\"x=15+\"-> their dog is old \"15\"\r
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