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
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