SOLUTION: Suppose you have 60¢ and a 2 cm by 3 cm picture of a building that you want to enlarge as much as possible. Copies on a photocopy machine cost 10¢ and the machine can enlarge any i

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Suppose you have 60¢ and a 2 cm by 3 cm picture of a building that you want to enlarge as much as possible. Copies on a photocopy machine cost 10¢ and the machine can enlarge any i      Log On


   

Question 297316: Suppose you have 60¢ and a 2 cm by 3 cm picture of a building that you want to enlarge as much as possible. Copies on a photocopy machine cost 10¢ and the machine can enlarge any image put through it to 120% of its original size. How large a picture of the building can you obtain? Thanks.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You start with a 2x3 and can enlarge 1.2 times.
You have $0.60 and each enlargement cost $0.10.
N=0.60%2F0.10=6
You can do 6 enlargements.
First enlargement: %282x3%29%281.2%29=%282.4x3.6%29
Second enlargement: %282.4x3.6%29%281.2%29=%282x3%29%281.2%29%281.2%29=%282x3%29%281.2%29%5E2
You can see from above that the sixth enlargement will give you a size of
%282x3%29%281.2%29%5E6=%282x3%29%282.986%29=%285.97x+8.96%29