The exponential decay graph shows the expected depreciation for a new boat, selling for $3500, over 10 years.
A coordinate graph is shown. The horizontal axis extends from 0 to 12 years. The vertical axis extends from 0 to 9500 with an axis label of 'Value' with the dollars sign in parenthesis ($). A curve is graphed which begins at the given numbers of (0, 3500), then decreases passing through approximately (12, 100), although, this number is not officially given.
a. Write an exponential function for the graph.
b. Use the function to find the value of the boat after 9.5 years.
I would appreciate some help to solve this problem. I am about 70% sure that I know the formula that I have to use, but I came up with two different ones, and it doesn't really look right to me.
The formula that I have been using is 3500=a*e^k*0 and/or y=3500*e^k*9.5
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https://doubtnut. com/question-answers/the-exponential-decay-graph-shows-the-expected-depreciation-for-a-new-boat-selling-for-3500-over-10--309137
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