Answer:
The correct answer is f(x) = 12,000(0.88)x, with a horizontal asymptote of y = 0
The function f(x) = 12,000(0.88)ˣ that represents the value of the car after x years and horizontal asymptote of y = 0 option third is correct.
It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]
where a is a constant and a>1
We have:
Jason estimates that his car loses 12% of its value every year. The initial value is $12,000.
We can model a function f(x) as follows:
f(x) = a(1 - r)ˣ
a = $12,000
r = 12% = 0.12
f(x) = 12,000(1-0.12)ˣ
f(x) = 12,000(0.88)ˣ
The horizontal asymptotes y = 0
Thus, the function f(x) = 12,000(0.88)ˣ that represents the value of the car after x years and horizontal asymptote of y = 0 option third is correct.
Learn more about the exponential function here:
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