a factory produces engraved gold disks.the cost c of the disk is directly proportional to the cube of the radius r of the disk a disk with a radius
Answers
Given : A factory produces engraved gold disks.
the cost C of the disk is directly proportional to the cube of the radius r of the disk
A disk with radius 0.8 cm costs 375 USD
To Find : Equation which links C and r
Cost of disk with radius 1.1 cm
Solution:
cost C of the disk is directly proportional to the cube of the radius r of the disk
=> C ∝ r³
=> C = kr³
where k is constant of proportionality
A disk with radius 0.8 cm costs 375 USD
=> 375 = k (0.8)³
=> k = 732.421875
C = kr³
=> C = 732.421875 r³
Cost of disk with radius 1.1 cm
=> C = 732.421875 (1.1)³
=> C = 974.853515625
=> C = 975 USD to the nearest USD
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