SOLUTION: it has been determined that at the age of 10 a girl has reached 84.4% of her final adult height. Dana is 4 ft 8 in at the age of 10. What will her final adult hight be. How do you

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Question 105535This question is from textbook
: it has been determined that at the age of 10 a girl has reached 84.4% of her final adult height. Dana is 4 ft 8 in at the age of 10. What will her final adult hight be. How do you figure it out she grew 15.6%. This question is from textbook

Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
Lets deal in inches to make things simple to start with:
Let x=Dana's adult height
4ft 8in=48+8=56in--------------Dana's height at the age of 10
Now we are told that:
56 in is 84.4% of x------------So:
0.844x=56 divide both sides by 0.844
x=66.3507 in-----------------------Dana's adult height
66.3507/12=5.529 ft or 5ft 6.3in
NOW LETS LOOK AT IT YOUR WAY:
Her adult height (x) minus her height at 10 years old (56) equals = the amount that she grew and that equals 15.6% of her adult height
x-56=0.156x and this turns out to be the same equation as before
Hope this helps------ptaylor