Using-Bionomial-solve-Given-that-y-3x-and-x-increases-at-2-1-2-find-percentage-increase-in-y-

Question Number 40271 by Rio Mike last updated on 18/Jul/18

U s i n g B i o n o m i a l s o l v e;

G i v e n t h a t y = 3 x a n d x i n c r e a s e s

a t 2 \frac{1}{2} %, f i n d p e r c e n t a g e i n c r e a s e

i n y .

Answered by tanmay.chaudhury50@gmail.com last updated on 19/Jul/18

y = 3 x d y = 3 d x

g i v e n \frac{d x}{x} \times 100 = \frac{5}{2}

\frac{d y}{y} \times 100

= \frac{3 d x}{3 x} \times 100

= \frac{5}{2}

o r \dots

l e t i n i t i a l v a l u e o f x = 100

i n i g i a l v a l u e o f y = 300

x + △ x = 100 + \frac{5}{2} = \frac{205}{2}

y + △ y = 3 \times \frac{205}{2} = \frac{615}{2}

△ y = \frac{615}{2} - 300 = \frac{15}{2}

p e r c e n t a g e y i n c r e a s e = \frac{15}{2 \times 300} \times 100 = \frac{5}{2}

p l s c h e c k \dots