document.write( "Question 930346: Suppose that the water depth in a leaking water tank changes at a constant rate. The water in the tank was 8 feet deep after leaking for 1 hour and was 6 feet deep after leaking for 3 hours.
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document.write( "How many feet deep was the water when the tank first began to leak? \n" );
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Algebra.Com's Answer #564930 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! leak rate equation starting at 1-hour after leak began: \n" ); document.write( "x = hours \n" ); document.write( "y = feet \n" ); document.write( "y = mx + b \n" ); document.write( "--- \n" ); document.write( "leak rate = m = slope = dy/dx \n" ); document.write( "leak rate = (8-6)/(3-1) \n" ); document.write( "leak rate = (2)/(2) \n" ); document.write( "leak rate = 1 ft/hour \n" ); document.write( "m = 1 ft/hour \n" ); document.write( "--- \n" ); document.write( "y-intercept = b = water level 1-hour after leak began \n" ); document.write( "b = 8 ft \n" ); document.write( "--- \n" ); document.write( "leak rate equation starting at 1-hour after leak began: \n" ); document.write( "y = x + 8 \n" ); document.write( "--- \n" ); document.write( "water level when the tank first began to leak: \n" ); document.write( "y = x + 8 \n" ); document.write( "y = (0 - 1) + 8 \n" ); document.write( "y = -1 + 8 \n" ); document.write( "y = 7 ft \n" ); document.write( "--- \n" ); document.write( "Solve and graph linear equations: \n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve quadratic equations, quadratic formula: \n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php \n" ); document.write( "--- \n" ); document.write( "Convert fractions, decimals, and percents: \n" ); document.write( "https://sooeet.com/math/fraction-decimal-percent.php \n" ); document.write( "--- \n" ); document.write( "Calculate and graph the linear regression of any data set: \n" ); document.write( "https://sooeet.com/math/linear-regression.php \n" ); document.write( " |