Javier works in a photo lab and needs to make a reduced copy of a photograph that is 8 inches long. The customer wants the copy to have a length of 4.5 inches. Each time he presses the reduce button on the copier, the copy is reduced by 12%. Javier and his boss had an argument, because Javier claimed that pressing the button 5 times would be enough to fulfill the customer's request. His boss said that pressing the button 5 times would result in a length less than the desired 4.5 inches. Which of the following conclusions can be made?
Answer:
Javier should not press the button five time.
Step-by-step explanation:
The given scenario says that Javier claimed that pressing the button 5 times would be enough to fulfill the customer's request. So, lets check that.
We will start at 8 inches.
Press once, \(8-0.12*8=7.04\) inches.
Pressing again, we get \(7.04-.12*7.04=6.1952\) inches.
Again pressing we get \(6.1952-.12*6.1952 = 5.451776\) inches.
Again we get \(5.451776-.12*5.451776 =4.79756288\) inches.
Again we get \(4.79756288-.12*4.79756288= 4.221855334\) inches.
We can clearly see here that pressing 4 or 5 times does not get 4.5 inches exactly as claimed by Javier.
Therefore, Javier claim is not right and his boss is right.
Answer:
Javier should not press the button five time.
Step-by-step explanation: