document.write( "Question 76226: Suppose that the temperature outside is dropping at a constant rate. At noon, the temperature is 70oF and it drops to 58oF at 5:00 pm. How much did the temperature drop each hour? \n" ); document.write( "
Algebra.Com's Answer #54689 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! At noon the temperature was 70 degrees F. Five hours later (at 5:00 p.m.) the temperature \n" ); document.write( "was 58 degrees F. So in five hours the temperature dropped 70 - 58 or 12 degrees. \n" ); document.write( ". \n" ); document.write( "Since the rate of drop was constant, all you have to do is divide the total amount of drop \n" ); document.write( "(12 degrees F) by the number of hours that it took to drop that amount (5 hours) and you \n" ); document.write( "get the rate of drop (call it R). In equation form this is: \n" ); document.write( ". \n" ); document.write( "R = 12/5 = 2+(2/5) = 2.4 degrees F per hour. \n" ); document.write( ". \n" ); document.write( "Hope this discussion helps you to see how to calculate the constant rate of drop that \n" ); document.write( "you were asked to find. If you want to check the temperature at each hour you could \n" ); document.write( "start at 70 degrees and subtract 2.4 degrees each hour. If you do you will find that \n" ); document.write( "at 1:00 p.m. the temperature should be 67.6 degrees. By 2:00 p.m. it has lost another \n" ); document.write( "2.4 degrees so it is 67.6 - 2.4 = 65.2 degrees. By 3:00 p.m it has lost another 2.4 degrees \n" ); document.write( "so the temperature is 65.2 - 2.4 = 62.8 degrees. Then by 4:00 p.m. the temperature \n" ); document.write( "is down another 2.4 degrees so it is 62.8 - 2.4 = 60.4 degrees. And an hour later \n" ); document.write( "(5:00 p.m.) it has dropped another 2.4 degrees and is 60.4 - 2.4 = 58 degrees. \n" ); document.write( ". \n" ); document.write( "That's exactly the temperature that the problem says it should be at 5:00 p.m. so our \n" ); document.write( "answer appears to be right. \n" ); document.write( " |