document.write( "Question 1179998: The cost for a rental car is $49.95 per day plus a flat fee of $31.95 for insurance. The equation, C=49.95x+31.95 represents the total cost, C (in dollars), to rent the car for x days. Identify the slope and interpret the meaning of the slope in the context of this equation. Identify the C-intercept and interpret the meaning of the C-intercept in the context of this equation. How much would it cost to rent the car for 1 week? \r
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document.write( "Now that you've used that example of an equation in slope-intercept form, please give an example of another calculation similar to this. \n" );
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Algebra.Com's Answer #809587 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the equation is c = 49.95 * x + 31.95\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this is in the form of the straight line equation of y = mx + b \n" ); document.write( "m is the slope. \n" ); document.write( "b is the y-intercept.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in the equation of c = 49.95 * x + 31,95, ....\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the slope is 49.95 and the c-intercept is 31.95.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the c-intercept is the cost when x = 0. \n" ); document.write( "this cost is paid regrdless of the number of days the car is rented.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the slope is the incremental cost per day. \n" ); document.write( "for 1 day, it's 49.95 \n" ); document.write( "for 2 days, it's 49.95 * 2 = 99.90 \n" ); document.write( "for 3 days, it's 49.95 * 3 = 149.85 \n" ); document.write( "etc.....\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the total cost for 1, 2, 3 days would be that plus 31.95.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "for 1 day, it's 45.99 + 31.95 = 77.94 \n" ); document.write( "for 2 days, it's 99.90 + 31.95 = 123.93 \n" ); document.write( "for 3 days, it's 149.85 + 31.95 = 169.92 \n" ); document.write( "etc.....\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "replace c with y and you can graph the equation as shown below.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if you rent the car for 1 week, that's 7 days.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the total cost will be 45.99 * 7 + 31.95 = 353.88.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "another calculation similar to this might be:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "rent a boat for 99.99 a day plus insurance of 100.00.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let c = the total cost and x be the total number of days. \n" ); document.write( "the equation is c = 99.99 * x + 100. \n" ); document.write( "99.99 is the slope which is the incremental cost per day. \n" ); document.write( "100 is the one time up front cost of 100 for the insurance.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |