Exercise 5
1 . In a factory , the production cost of a carpet of perimeter s metres is $ C . It is given that
C is directly proportional to s , and the production cost of a carpet of perimeter 12 metres is $ 150 .
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( a ) |
Express C in terms of s . |
( b ) |
Write down the production cost of a carpet of perimeter 26 metres . |
( c ) |
Find the production cost of a circular carpet with radius 5 metres . |
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The cost factor r is defined as r � � C � �3125
� .
( d ) Express r in terms of s .
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[ 2 ]
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[ 2 ]
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2 . Let $ P be the price of a tetrahedron model of surface area of inversely proportional to A . When A � 9, P � 20 .
( a ) Express P in terms of A .
( b ) Write down the price of a tetrahedron model of surface area of
2
A cm . It is given that P is
2
75 cm . [ 1 ]
( c ) Interpret the condition on the price of a tetrahedron model of a large surface area . [ 1 ]
The straight line graph of ln P versus ln A is sketched .
[ 2 ]
( d ) Write down the gradient of the graph . [ 1 ] www . seprodstore . com
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