document.write( "Question 1152420: on the first day of her bike tarinign Sabrine road 6.5 miles. She increased her distance by 0.75 miles each time she rides. Whats her distance on the tenth day. \n" ); document.write( "
Algebra.Com's Answer #774436 by Theo(13342)\"\" \"About 
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on her first day she rode 6.5 miles.
\n" ); document.write( "whe then increased her distance by .75 miles each additional time she rode.
\n" ); document.write( "since the change is a constant value each time, this becomes a straight line equation.
\n" ); document.write( "there are two formulas that could be used.
\n" ); document.write( "the first formula would be An = A1 + (n-1) * d
\n" ); document.write( "when n = 10, the formula becomes A10 = A1 + 9 * .75
\n" ); document.write( "A1 is 6.5, so the formula becomes A10 = 6.5 + 9 * .75.
\n" ); document.write( "solve for A10 to get:
\n" ); document.write( "A10 = 13.25
\n" ); document.write( "the second formula is the slope intercept form of the equation for a straight line.
\n" ); document.write( "that formula is y = mx + b
\n" ); document.write( "m is the slope and b is the y-intercept.
\n" ); document.write( "you are given the slope and one point on the line.
\n" ); document.write( "the slope is .75 and the given point is (1,6.5)
\n" ); document.write( "with a slope of.75, the formula becomes y = .75 * x + b
\n" ); document.write( "to find the value of b, replace x with 1 and y with 6.5 and provide the slope of .75 to get:
\n" ); document.write( "6.5 = .75 * 1 + b
\n" ); document.write( "solve for b to get:
\n" ); document.write( "b = 6.5 - .75 = 5.75
\n" ); document.write( "the formula becomes y = .75 * x + 5.75
\n" ); document.write( "when x = 10, the formula becomes y = .75 * 10 + 5.75
\n" ); document.write( "solve for y to get y = 13.25\r
\n" ); document.write( "\n" ); document.write( "for graphing purposes, y = .75 * x + 5.75 can stand as is.
\n" ); document.write( "for graphing purposes, An = 6.5 + (n-1) * .75 can be written as:
\n" ); document.write( "y = 6.5 + (x-1) * .75
\n" ); document.write( "these two equations equivalent, meaning they will provide the same answer for any value of x.
\n" ); document.write( "you can also show they're equivalent by doing the following to the second equation.
\n" ); document.write( "y = 6.5 + (x - 1) * .75 becomes:
\n" ); document.write( "y = 6.5 + .75 * x - .75
\n" ); document.write( "combine like terms to get:
\n" ); document.write( "y = .75 * x + 5.75.
\n" ); document.write( "the second form of the equation has been shown to be the same as the first form of the equation, since both equations are identical.
\n" ); document.write( "your solution is that her distance on the 10th day is 13.25 miles.
\n" ); document.write( "here is the graph of both equations.
\n" ); document.write( "both equations draw the same identical line on the graph since the equations are identical.\r
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