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alyssababy7 Group Title

The exponential decay graph shows the expected depreciation for a new boat, selling for $3500, over 10 years. (Will attach graph) a. Write an exponential function for the graph. b. Use the function in part a to find the value of the boat after 9.5 years.

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  1. alyssababy7 Group Title
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    • one year ago
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  2. Algebraic! Group Title
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    y= C*e^(-rt)

    • one year ago
  3. Algebraic! Group Title
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    at t= 0 e^(-rt) = 1 and y=C C=?

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  4. satellite73 Group Title
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    that is one way. here is another in 2 years it goes from \(3500\) to \(2000\) and \(\frac{2000}{3500}=\frac{4}{7}\) so we can use \[3500\times \left(\frac{4}{7}\right)^{\frac{t}{2}}\] where \(t\) is time in years

    • one year ago
  5. satellite73 Group Title
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    then if you want the value in \(9.5\) years you can (with a calculator) find \[3500\left(\frac{4}{7}\right)^{\frac{9.5}{2}}\]

    • one year ago
  6. JohnnyB8A70 Group Title
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    how do i finish this problem? @satellite73

    • 9 months ago
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