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Prepared by Ladybird Question: Given that the curve with the equation y = ax n passes through the points ( 2,12 ) and  2 12   ,  , find the values of n and of a.  5 25  Solution: Given y = ax n When ( 2,12 ) → y = ax n 12 = a ( 2 ) n .... (1)  2 12  When  ,  →  5 25  y = ax n 12 2 = a  25 5 n .... ( 2 ) n (1) ÷ ( 2 ) , 12  n  2 12 ÷  = a ( 2 ) ÷ a   25   5 25  a ( 2 )  12 ×  = n 12   2 a  5 25 = 5n 52 = 5n n=2 2 n ∴ From (1) , 12 = a ( 2 ) 12

Author

sewcin

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EN