given-that-y-3x-4-find-the-percentage-increase-in-y-when-x-increases-at-5-2-

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 \dots

I corrected it

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