Question

Write an exponential function for the graph. use the function to find the value of the boat after 9.5 years

Answer 1

Give me a minute and I'll see what i can do >.<

Answer 2

okay.

Answer 3

I'd like you to look at the graph and determine if it's an exponential growth or an exponential decay.

Answer 4

decay i guess

Answer 5

Yep! Great :)
So an exponential decay looks like this
\[y = a(1 - r)^x\]
where a = initial amount
r = decay rate
x = number of time intervals passed

Answer 6

okay. so what are the vairables. im guessing a is 3500

Answer 7

Yes, the initial amount would be the point at 0 on the x axis (the time passed) so in that case it would be 3500. x = 10 (years)
It looks like it's going down about 1000 at first, then 500, 500, 250, and less as it goes on

Answer 8

@undeadknight26 Can you help determine what the r is?

Answer 9

Rate of decay is slope. Slope is y2 - y1/x2 - x1.

Answer 10

but the rate of decay keeps changing. it gets less and less it doesn't stay the same.

Answer 11

so using 2 points to find the slope won't work because the next set of points won't ahve the same slope.

Answer 12

That's supposed to happen. The proportionality should stay the same, but the numbers changing. :) So, assumably, since it's slope, we can use two consecutive points and find the rate of decay.
Is that right Tari? >.< Lol

Answer 13

so what would it be then?

Answer 14

http://openstudy.com/updates/5280275ae4b022369a7cdb0f
My friend told me the question was all over the internet, so I just looked and here is what I found xD This might be helpful, more so than I will be.

Answer 15

okay thanks. so help with my other question? in algebra

Answer 16

I can try :)

Answer 17

i had tagged you in it earlier

Answer 18

Oh? Can you tag me again? I get so many notifications I lose track easily :/