364,720 views
0 votes
0 votes
X+YQuestion 24Page 1 of 4LineGuide?Every computer that a business owner purchases will lose most of its value after 5 years of use. The owner plans to purchase a computerfor $2,100 and replace it after 4 years.Part AMethod 1 of determining the computer's value is to reduce its value by a constant amount after each year of use. This method values thecomputer at $0 after 5 years of use.Which function, f(n), represents the value of the computer after n years of use for Method 1?f(n) = 420nf(n) = 525nf(n) = 2,100 - 420nd f(n) = 2,100 - 525n

User Arhowk
by
2.9k points

1 Answer

12 votes
12 votes

EXPLANATION

Let's see the facts:

Useful life= 5 years

Computer Price = $2100

Replacing time = 4 years

Si, the initial price is $2,100 and we can assevere that we must subtract the depreciation component to this number in order ti reduce its value by a constant amount.

f(n) = 2,100 - ...

The next term to consider is constant decreasing amount is 420n or 525n. How can we get the right term?

It's simple, just replacing the variable n by 5 and looking if f(n) is equal to $0.

f(5) = 2,100 - 420*(5) = 0 Rigth reasoning!

f(5) = 2,100 - 525*(5) = -525 It's not equal to zero!

The function f(n) that represents the value of the computer after n years of uses is f(n) = 2,100 -420n

User David Dahan
by
2.8k points