A stock is declining at a rate of 75% of it value every week. The stock started At $225. Write and graph an equation to model this scenario

Question

I need a graph and a table to show 

Answer 1

V = 225

 

New V each week = V - .75*V

So for week 1, New V = .25*V = .25(225) = 56.25

Then for week 2, V = .25 * 56.25

and so on

 

You could plug this into an Excel spreadsheet formula and cascade down a column and then plot this from the results.

 

 

 

Answer 2

Let P = initial price

 

1 week = p/4 = p/4¹

 

2 weeks = p/16 = p/4²

 

3 weeks = p/64 = p/4³

 

So looking at the pattern we get P = 225/4ⁿ with n starting at 0,1,2,3,.....