## 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. one year ago one year ago

1. alyssababy7 Group Title

2. Algebraic! Group Title

y= C*e^(-rt)

3. Algebraic! Group Title

at t= 0 e^(-rt) = 1 and y=C C=?

4. satellite73 Group Title

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

5. satellite73 Group Title

then if you want the value in $$9.5$$ years you can (with a calculator) find $3500\left(\frac{4}{7}\right)^{\frac{9.5}{2}}$

6. JohnnyB8A70 Group Title

how do i finish this problem? @satellite73