SOLUTION: Determine the value of k when: q is inversely proportional to the sum of x and y. If x=0.5 and y=0.7, then q=1.4 Please help!

Algebra ->  Inverses -> SOLUTION: Determine the value of k when: q is inversely proportional to the sum of x and y. If x=0.5 and y=0.7, then q=1.4 Please help!      Log On


   

Question 103926This question is from textbook Fundamentals of College Algebra
: Determine the value of k when:
q is inversely proportional to the sum of x and y. If x=0.5 and y=0.7, then q=1.4
Please help! This question is from textbook Fundamentals of College Algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If q is inversely proportional to the sum of x and y, then we have this relationship


q=k%2F%28x%2By%29 note: remember the inverse of an expression like x%2By is 1%2F%28x%2By%29


Now plug in the given values to find k

1.4=k%2F%280.5%2B0.7%29 Plug in x=0.5, y=0.7, and q=1.4


1.4=k%2F%281.2%29 Add


1.68=k Multiply both sides by 1.2 to isolate k


So our answer is k=1.68