document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1141390>Question 1141390</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Greg started with a certain number of quarters. He then decided on a number of quarters he would save each day. He added the quarters he saved to the amount with which he started.\r<BR>\n" );
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document.write( "At the end of day 2, Greg had a total of 26 quarters saved.<BR>\n" );
document.write( "At the end of day 5, he had a total of 35 quarters saved.<BR>\n" );
document.write( "At the end of day 8, he had a total of 44 quarters saved.<BR>\n" );
document.write( "Hint: Create an x/y or t-chart and fill in the numbers with x-value representing the # of days and the y-value representing \"total coins.\"\r<BR>\n" );
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document.write( "A. How many quarters does Greg start with (day zero)? Show or explain your work.\r<BR>\n" );
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document.write( "B. Write an equation in slope-intercept form to model the total quarters Greg has saved after x days.\r<BR>\n" );
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document.write( "C. Using the rate at which Greg is saving, explain why he can never have exactly 100 quarters saved by the end of any given day. </SPAN>\n" );
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document.write( "He is adding 9 quarters every 3 days, or 3 quarters every day.<br><BR>\n" );
document.write( "A. At the end of day 2, he had added 2*3=6 quarters to the starting number.  Since he had 26 quarters at the end of day 2, he started with 26-6=20 quarters.<br><BR>\n" );
document.write( "B. 20, plus 3 more for each day: literally, y = 20+3x.  In slope-intercept form, y = 3x+20.<br><BR>\n" );
document.write( "C. The starting number of 20 is 2 more than a multiple of 3.  Since he adds 3 quarters each day, the total at the end of every day will be 2 more than a multiple of 3.  100 is 1 more than a multiple of 3, so he will never have 100 quarters at the end of any day.<br><BR>\n" );
document.write( "Note that instead of explaining part C in words, you could just show that the equation 3x+20=100 has a non-integer solution. </SPAN>\n" );
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