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The exponential decay graph shows the expected depreciation for a new boat, sell g for $3500, over 10 years. write an exponential function to find the value of the boat after 9.5 years. Download jpg

Ross Pratt

in Mathematics

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Daniel King on August 11, 2018

Well, the exponential function is the initial price of that at t=0 is 3,500, as we can see in the chart. Then, the function becomesLet to see in t=2, where the price is g=2000:Taking the natural logarithm:Thus, the difference between t=0 and t=2 isAnd then we get the change of x in one year equal to 0.035.Thus, the end of the equation isYou can insert any t and see that it is correct, for example, t=7


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