Question

The exponential decay graph shows the expected depreciation for a new boat, selling for $3500, over 10 years. How do you write an exponential function for the graph. Use the function to find the value of the boat after 9.5 years?

Answer 1

Answer:

Step-by-step explanation:

The exponential equation can be written as = y  =  A⋅e∧kt

whereby:

y  = value   A  =constant k  =rate of change  and t  = time since the start

The start price at t =0 will be 3,500. Then, the function will become - 3500 = A⋅e∧kt or 3500 = A

Similarly, at t=2, the price will be y = 2000. the function becomes - 2000 = 3500∧x

In2000 = in3500∧x

x = In2000/in3500 = 0.93

Thus, the difference between t = 0 and t = 2

1-0.93 = 0.07

Thus we get the change of x in one year equal to 0.035.

So, the final equation is = y = 3500∧1-0.035t

Answer 2

Final equation would be:

A. y=3500(2/√7)^x

B. y=$245.27