given that y= 3x^4 find the percentage increase in y when x increases at (5/2)%.


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Question Number 33136 by Rio Mike last updated on 11/Apr/18

$g i v e n t h a t y = 3 x^{4} f i n d t h e p e r c e n t a g e$ $i n c r e a s e i n y w h e n x i n c r e a s e s a t \frac{5}{2} % .$
	Answered by MJS last updated on 11/Apr/18

	$x + \frac{5}{2} % = x \times (1 + \frac{5 / 2}{100}) = \frac{41}{40} x$ ${(\frac{41}{40} x)}^{4} = \frac{2825761}{2560000} x^{4} =$ $= y \times (1 + \frac{2825761 / 25600}{100}) =$ $= y + \frac{265761}{25600} % \approx y + 10 . 38 %$
	Commented by Rio Mike last updated on 11/Apr/18

	$s i r d o w e g e t y + 231 % a t s u c h s t a t e$ $m y r e s u l t s e e m s t o b e d i f f e r e n t 10 . 38 %$
	Commented by MJS last updated on 11/Apr/18

	${you}^{'} re right, I forgot the factor 3 . . .$ $I corrected it$
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