document.write( "Question 1050682: Arthur is driving his car on a long road trip. On the highway he drives at an average speed of 90km/h. Through towns he drives at an average speed of 50km/h. So far he's been driving for a total of 6 hours. Give a relation, d(c), which determines the total distance, d, Arthur has driven so far, given that he's driven through towns for c hours. And determine the domain and range of d(c). \n" ); document.write( "

Algebra.Com's Answer #666278 by josmiceli(19441) $\"\"$ $\"About$

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The distance he drives through towns is:
\n" ); document.write( " $\"+50c+\"$ km
\n" ); document.write( "The distance he drives on the highway is:
\n" ); document.write( " $\"+90%2A%28+6+-+c+%29+\"$
\n" ); document.write( "-------------------
\n" ); document.write( " $\"+d%28c%29+=+50c+%2B+90%2A%28+6+-+c+%29+\"$
\n" ); document.write( " $\"+d%28c%29+=+50c+%2B+540+-+90c+\"$
\n" ); document.write( " $\"+d%28c%29+=+-40c+%2B+540+\"$ km
\n" ); document.write( "--------------------------
\n" ); document.write( "The domain begins at $\"+c+=+0+\"$
\n" ); document.write( "and ends at $\"+d%28c%29+=+0+\"$
\n" ); document.write( " $\"+0+=+-40c+%2B+540+\"$
\n" ); document.write( " $\"+40c+=+540+\"$
\n" ); document.write( " $\"+c+=+13.5+\"$
\n" ); document.write( "0 < c < 13.5
\n" ); document.write( "--------------------
\n" ); document.write( "The range is
\n" ); document.write( "0 < d(c) < 540
\n" ); document.write( "--------------------
\n" ); document.write( "Here's the plot:
\n" ); document.write( " $\"+graph%28+400%2C+400%2C+-5%2C+40%2C+-70%2C+700%2C+-40x+%2B+540+%29+\"$ \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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