document.write( "Question 1183035: Weather balloons are filled with hydrogen and released at various sites to measure and transmit data about conditions such as air pressure and temperature. A weather balloon is filled with hydrogen at the rate of 0.5 ft3/s. Initially, the balloon has 4 ft3 of hydrogen.
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document.write( "(a) Find a linear function V that models the volume of hydrogen in the balloon at any time t.
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document.write( "V(t) =
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document.write( " \r
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document.write( "(b) If the balloon has a capacity of 21 ft3, how long does it take to completely fill the balloon?
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document.write( " s \n" );
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Algebra.Com's Answer #813182 by ikleyn(52776)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "(a) Write the function as you read the problem\r\n" ); document.write( "\r\n" ); document.write( " V(t) = 4 + 0.5*t cubic feet,\r\n" ); document.write( "\r\n" ); document.write( " where \"t\" is the time in seconds from the starting moment.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " Each second, the volume increases by 0.5 cubic feet.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "(b) To answer this question, you solve the equation\r\n" ); document.write( "\r\n" ); document.write( " V(t) = 21 ft^3, \r\n" ); document.write( "\r\n" ); document.write( " or\r\n" ); document.write( "\r\n" ); document.write( " 4 + 0.5*t = 21.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " The solution is t =\r \n" ); document.write( "\n" ); document.write( "Solved and explained.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |