The table below shows the value of a car during certain years . Using an exponential model , write an equation for the curve of
best fit, then estimate the value of the car in 2016 .
2 answers:
The exponential function that gives the value of the car in t years after 2008 is:
.
Using the function, the estimate for the value of the car in 2016 is of $9,900.
<h3>What is an exponential function?</h3>
A decaying exponential function is modeled by:

In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem:
- The initial value is of A(0) = 27,500.
- Considering the first year change, we have that 1 - r = 24200/27500 = 0.88.
Hence, the equation is:

2016 is 8 years after 2008, hence the value of the car will be given by:

More can be learned about exponential functions at brainly.com/question/25537936
The exponential function is given as y = 27500(0.88)ˣ and the value of the car in 2016 is $9890
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let y represent the value of the car after x years after 2008, hence:
at x = 0, y = 27500
27500 = ab⁰
a = 27500
At x = 1, y = 24200, hence:
24200 = 27500b¹
b = 0.88
y = 27500(0.88)ˣ
In 2016, x = 8, hence:
y = 27500(0.88)⁸ = 9890
The exponential function is given as y = 27500(0.88)ˣ and the value of the car in 2016 is $9890
Find out more on equation at: brainly.com/question/2972832
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