The graph shows how the value of a car changes over
time.
Which function best represents the relationship shown
in the graph?
Car
y
~ y = -3,000x9
30,000
25,000
By = 27,000x + 9
20,000
Value (dollars)
15,000
10,000
5,000
y = 27,000x - 3,000
0
1 2 3 4 5 6 7 8 9 10
Time (years)
Dy = -3,000x + 27,000

Respuesta :

The linear function is given by y = -2000x + 30000

Linear function

A linear function is a function in the form:

y = mx + b

where y,x are variables, m is the rate of change and b is the y intercept.

Let y represent the value of the car after x years.

From the graph, the line passes through point (0, 30000) and (3, 24000), hence:

[tex]y-30000=\frac{24000-30000}{3-0} (x-0)\\\\y=-2000x+30000[/tex]

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