Question

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 1

Javier should not press the button five time.

Explanation:

Answer 2

Javier should not press the button five time.

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.