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Hoochie [10]
2 years ago
9

The value of computer decreases with its age until it is worth nothing a computer that was purchases new for 0 years is worth 22

20 1540 after 6 years problem whats the value after 8 years and what is the linear function V(x)
Mathematics
1 answer:
Georgia [21]2 years ago
3 0

Answer:

V(x) = -\frac{340}{3}x +2220

V(8) = 1313.3

Step-by-step explanation:

Given

Let x represent years and V represents the value.

So, we have:

(x_1,v_1) = (0,2220)

(x_2,v_2) = (6,1540)

Solving (a): The linear function

First, we calculate the slope (m)

m = \frac{v_2 - v_1}{x_2 - x_1}

This gives:

m = \frac{1540-2220}{6-0}

m = \frac{-680}{6}

m = -\frac{340}{3}

The linear function is calculated using:

v - v_2 = m(x - x_2)

Where:

(x_2,v_2) = (6,1540)

m = -\frac{340}{3}

So, we have:

v - 1540 = -\frac{340}{3}(x - 6)

Open bracket

v - 1540 = -\frac{340}{3}x +\frac{340}{3}* 6

v - 1540 = -\frac{340}{3}x +680

Make v the subject

v = -\frac{340}{3}x +680+1540

v = -\frac{340}{3}x +2220

So, the function is:

V(x) = -\frac{340}{3}x +2220

Solving (b): When x = 8

Substitute 8 for x in V(x) = -\frac{340}{3}x +2220

V(8) = -\frac{340}{3}*8 +2220

V(8) = -\frac{340*8}{3} +2220

V(8) = -\frac{2720}{3} +2220

Take LCM

V(8) = \frac{-2720+2220*3}{3}

V(8) = \frac{-2720+6660}{3}

V(8) = \frac{3940}{3}

V(8) = 1313.3

<em>Hence, its value after 8 years is 1313.3</em>

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