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The accompanying table shows the value of a car over time that was purchased for
12700 dollars, where x is years and y is the value of the car in dollars. Write an
exponential regression equation for this set of data, rounding all coefficients to the
nearest hundredth. Using this equation, determine the value of the car, to the nearest
cent, after 11 years.
Years (x) Value in Dollars (y)
0
12700
1
11499
2
9849
3
7672
4
1
6422

Respuesta :

raphealnwobi

The value of the car after 11 years is $3137.18

exponential function

An exponential function is in the form:

y = abˣ

where a is the initial value of y, b is the factor, y, x are variables.

Let y represent the value of the car in dollars after x years. From the table:

When x  = 0, y = 12700, hence:

  • 12700 = ab°
  • a = 12700

When x = 2, y = 9849, hence:

  • 9849 = 12700b²
  • b = 0.8806

The exponential function is:

y = 12700(0.8806)ˣ

For 11 years:

y = 12700(0.8806)¹¹ = 3137.18

The value of the car after 11 years is $3137.18

Find out more on exponential function at: https://brainly.com/question/12940982

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