The value of business furniture is assumed to depreciate (decrease) in value linearly. If the value was $56,000 in 2012 and $48,500 in 2015, when will the value be $20,000? Setup an equation for the value and solve algebraically!

Answer :

TomShelby

Answer:

f(x) = 56,000 - 2,500X

In 2026 the value will be of 20,000

Explanation:

a linear function follow the following structure:

f(x) = ax+ b

we can solve for a given two points of  the formula like this:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]a = \frac{48,500 - 56,000}{2015 - 2012} = -,2500[/tex]

Now, we solve for B

48,500 = -2,500 x 3 + B

48,500 + 7,500 = B = 56,000

The formula will give 20,00 at:

20,000 = -2,500x + 56,000

36,000 / 2,500 = x = 14.4

being 2012 year 0

it will be year 2026

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