document.write( "Question 563573: When a bucket is filled 3/8 of its capacity its weight is 10 kg. If it is filled 3/5 of its capacity its weight is 14.5 kg. How much will its weight be when it is filled to the full capacity? \n" ); document.write( "

Algebra.Com's Answer #365039 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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When a bucket is filled 3/8 of its capacity its weight is 10 kg.
\n" ); document.write( " If it is filled 3/5 of its capacity its weight is 14.5 kg.
\n" ); document.write( " How much will its weight be when it is filled to the full capacity?
\n" ); document.write( ":
\n" ); document.write( "We can convert these fractions to exact decimals
\n" ); document.write( " $\"3%2F8\"$ = .375
\n" ); document.write( " $\"3%2F5\"$ = .6
\n" ); document.write( ":
\n" ); document.write( "Assign the values as follows
\n" ); document.write( "x1 = .375; y1 = 10
\n" ); document.write( "x2 = .600; y2 = 14.5
\n" ); document.write( ":
\n" ); document.write( "Find the slope m = $\"%28y2-y1%29%2F%28x2-x1%29\"$
\n" ); document.write( "m = $\"%2814.5-10%29%2F%28.6-.375%29\"$ = $\"4.5%2F.225\"$ = 20
\n" ); document.write( ":
\n" ); document.write( "Use the point/slope form to construct an equation: y - y1 = m(x - x1)
\n" ); document.write( "y - 10 = 20(x - .375)
\n" ); document.write( "y - 10 = 20x - 7.5
\n" ); document.write( "y = 20x - 7.5 + 10
\n" ); document.write( "y = 20x + 2.5, is the equation
\n" ); document.write( ":
\n" ); document.write( "Bucket is full when x = 1
\n" ); document.write( "y = 20(1) + 2.5
\n" ); document.write( "y = 22.5 kg for a full bucket \n" ); document.write( "

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