document.write( "Question 288017: A marketing group developing online ad space is offering two payment options:\r
\n" );
document.write( "\n" );
document.write( "Option 1: $210 set up fee plus $10/inch of ad
\n" );
document.write( "Option 2: No set up fee plus $25/inch of the ad\r
\n" );
document.write( "\n" );
document.write( "Let x = inches of proposed ad, for example, x=2 for a column ad that is 2\"\r
\n" );
document.write( "\n" );
document.write( "a) Write a mathematical model representing the total ad cost, C, in terms of x for the following\r
\n" );
document.write( "\n" );
document.write( "Option 1: C=__________
\n" );
document.write( "Option 2: C=__________\r
\n" );
document.write( "\n" );
document.write( "I came up with the answer Option 1 being $14.00 and Option 2 being $15.00 is that correct???\r
\n" );
document.write( "\n" );
document.write( "Part b) How many of ad space would need to be purchased for option 1 to be less than option 2? Set up an inequality and show your work algebraically using the information in part a. Summarize your findings in a brief sentence. \n" );
document.write( "
Algebra.Com's Answer #208891 by Deina(147)![]() ![]() You can put this solution on YOUR website! You have the right(ish) answer, except you're not interpreting it correctly. \r \n" ); document.write( "\n" ); document.write( "Option 1: $210 set up fee plus $10/inch(x) of ad \n" ); document.write( "C = $210 + 10x \n" ); document.write( "Option 2: No set up fee plus $25/inch(x) of the ad \n" ); document.write( "C = 25x \n" ); document.write( "To locate the crossover point, where the two equal each other, we need to calculate where: \n" ); document.write( "Option 1 = Option 2, so: \n" ); document.write( "210 + 10x = 25x Now subtract 10x from each side, giving: \n" ); document.write( "210 = 15x Divide each side by 15: \n" ); document.write( "210/15 = 15x/15 giving us: \n" ); document.write( "14 = x I'm guessing that you got here before, but now remember that \"x\" is inches of ad space, so at 14 ad inches the costs equal out. Below 14 inches Option 2 is less expensive. Above 14 inches Option 1 is less expensive, and bob's your uncle! \n" ); document.write( " \n" ); document.write( " |