For this problem. it is found that:
a) The automobile has depreciated 75% in 5 years.
b) The value of the automobile was reduced by $10,500 in five years.
c) The linear function is: s(t) = 14,500 - 2,100t.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = ax + b
In which:
- a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
From the problem, we have that:
a) The automobile has depreciated 75% in 5 years, as 4000/14500 = 0.25, and 100% - 25% = 75%.
b) The value of the automobile was reduced by $10,500 in five years, as 14500 - 4000 = $10,500.
For the linear function, we have that:
- The initial value is b = 14500.
- The slope is of a = -10500/5 = -2100.
Hence the linear function is: s(t) = 14,500 - 2,100t.
More can be learned about linear functions at brainly.com/question/24808124
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