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Jason estimates that his car loses 12% of its value every year. The initial value is $12,000. Which best describes the graph of the function that represents the value of the car after x years? f(x) = 12,000(0. 12)x, with a horizontal asymptote of y = 0 f(x) = 12,000(1. 12)x, with a vertical asymptote of x = 0 f(x) = 12,000(0. 88)x, with a horizontal asymptote of y = 0 f(x) = (12,000 0. 88)x, with a vertical asymptote of x = 0.

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MrRoyal

The graph that represents f(x) is [tex]f(x) = 12000(0.88)^x[/tex] with a horizontal asymptote at x = 0.

The given parameters are:

[tex]a = 12000[/tex] --- the initial value of the car

[tex]r = 12\%[/tex] -- the loss per year

The estimation is an illustration of an exponential function.

An exponential function is represented as:

[tex]y = a(1 -r)^x[/tex]

Rewrite as a function

[tex]f(x) = a(1 -r)^x[/tex]

Substitute values for (a) and (r)

[tex]f(x) = 12000(1 -12\%)^x[/tex]

Express 12% as decimal

[tex]f(x) = 12000(1 -0.12)^x[/tex]

Subtract 0.12 from 1

[tex]f(x) = 12000(0.88)^x[/tex]

The graph of f(x) has a horizontal asymptote at x = 0.

Hence, the graph that represents f(x) is [tex]f(x) = 12000(0.88)^x[/tex] with a horizontal asymptote at x = 0.

Read more about exponential functions at:

https://brainly.com/question/12940982