Answer:
(a) \(f(x)=3500(\frac{2}{\sqrt{7}})^x\)
(b) $245.27
Explanation:
(a)
From the below graph it is clear that the graph it passes through the points (0,3500) and (2,2000).
The general form of an exponential function is
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where, a is the initial value and b is growth or decay factor.
Initial value is 3500, it means a=3500.
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f(x)=2000 at x=2.
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The exponential function for the graph is
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(b)
We need to find the value of the boat after 9.5 years.
Substitute x=9.5 in the above function.
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Therefore, the value of the boat after 9.5 years is $245.27.
