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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Triangle EFG can also be proven to be a right triangle by using the following: D. Prove that KL is equal to c by Pythagorean Theorem.
<h3>What is the Pythagorean Theorem?</h3>The Pythagorean theorem states that the square of the longest side of a right triangle, which is the hypotenuse (c²) equals the sum of the squares of the other two legs of the right triangle (a² + b²).
If we apply the Pythagorean theorem, we would find the length of KL. If KL has the same length as c in triangle EFG, then we can say that triangle EFG is also a right triangle.
Therefore, the answer is: D. Prove that KL is equal to c by Pythagorean Theorem.
Learn more about the Pythagorean Theorem on:
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