Question

The accompanying table shows the value of a car over time that was purchased for

Answer 1

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: brainly.com/question/12940982