SOLUTION: URGENT QUESTION NEEDED WITHIN @ DAYS TIME(thank you)the question is_ if y=(kx^2)/sqaure root (P) find the % change in y if x inxreases by 10% and p decreases by 15% thanks you so

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: URGENT QUESTION NEEDED WITHIN @ DAYS TIME(thank you)the question is_ if y=(kx^2)/sqaure root (P) find the % change in y if x inxreases by 10% and p decreases by 15% thanks you so      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 205339: URGENT QUESTION NEEDED WITHIN @ DAYS TIME(thank you)the question is_
if y=(kx^2)/sqaure root (P) find the % change in y if x inxreases by 10% and p decreases by 15%
thanks you soo much

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
if y=(kx^2)/sqaure root (P) find the % change in y if x inxreases by 10% and p decreases by 15%
.
y+=+%28kx%5E2%29%2Fsqrt%28P%29
Now, if
x = x+.1x = x(1+.1) = 1.1x
P = P-.15P = P(1-.15) = .85P
.
Plug the values in:
y+=+%28k%281.1x%29%5E2%29%2Fsqrt%28.85P%29
Working the numerator:
y+=+%28k%281.21%29x%5E2%29%2Fsqrt%28.85P%29
y+=+%281.21%29%28kx%5E2%29%2Fsqrt%28.85P%29
Working the denominator:
y+=+%281.21%29%28kx%5E2%29%2F%28sqrt%28.85%29sqrt%28P%29%29
y+=+%281.21%2Fsqrt%28.85%29%29%28kx%5E2%29%2Fsqrt%28P%29
y+=+%281.312%29%28kx%5E2%29%2Fsqrt%28P%29
.
Percent change:
%28%281.312%29%28kx%5E2%29%2Fsqrt%28P%29%29+%2F+%28%28kx%5E2%29%2Fsqrt%28P%29%29+%2A+100
1.312+%2A+100
Percent change then is: 131.2%