document.write( "Question 108690: A taxicab ride that is 2 miles long cost $7. One that is 9 miles long costs $24.50. Write an equation relating cost to length of ride. and what do the slope and the y-intercept mean in this equation? \n" ); document.write( "
Algebra.Com's Answer #79251 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
A taxicab ride that is 2 miles long cost $7. One that is 9 miles long costs $24.50. Write an equation relating cost to length of ride. and what do the slope and the y-intercept mean in this equation?
\n" ); document.write( "----------
\n" ); document.write( "You have two points: (2,7) and (9,24.5)
\n" ); document.write( "----------------
\n" ); document.write( "slope = [24.5-7]/[9-2] = 17.5/7
\n" ); document.write( "---------------------
\n" ); document.write( "Equation form is cost = (slope)(distance) + b
\n" ); document.write( "Substitute cost = 7, slope = 17.5/7, distance = 2 to solve for \"b\":
\n" ); document.write( "7 = (17.5/7)2 + b
\n" ); document.write( "b = 7 - (35/7)
\n" ); document.write( "b = 2
\n" ); document.write( "EQUATION:
\n" ); document.write( "cost = (2)(distance) + 2
\n" ); document.write( "--------------
\n" ); document.write( "slope means cost increases 17.5 dollars for every 7 mile increase in distance
\n" ); document.write( "---------
\n" ); document.write( "y-intercept = 2 means the meter is set at $2 at 0 distance.
\n" ); document.write( "---------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
\n" );