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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Mathematics

21 January, 03:16

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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Bowers · Answer 1

I believe it's f (x) = 12,000 (0.88) ^x, with a horizontal asymptote of y = 0

Why?-

the form of the equation is

y=startingvalue * (1 - loss%) ^ x

y=12000 * (1 - 12%) ^ x

y=12000 * (1 -.12) ^ x

y=12000 * (.88) ^ x