SOLUTION: A 10-inch sunflower is planted in a garden and the height of the sunflower increases exponentially. The height of the sunflower increases by 25% every 5 days. What is the 5-day

Algebra ->  Finance -> SOLUTION: A 10-inch sunflower is planted in a garden and the height of the sunflower increases exponentially. The height of the sunflower increases by 25% every 5 days. What is the 5-day       Log On


   

Question 1148809: A 10-inch sunflower is planted in a garden and the height of the sunflower increases exponentially. The height of the sunflower increases by 25% every 5 days.
What is the 5-day growth factor for the height of the sunflower?

What is the 1-day growth factor for the height of the sunflower?

What is the 1-day percent change for the height of the sunflower?

Write a function
f
that determines the height of the sunflower (in inches) in terms of the number of days
t
since the sunflower was planted.
f(t)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+1.25h+=+h%2A%28+1+%2B+r+%29%5E5+
-------------------------------------
The 5-day growth factor is 1.25
-------------------------------------
+1.25+=+%28+1+%2B+r+%29%5E5+
+log%28+1.25+%29+=+5%2Alog%28+1+%2B+r+%29+
+.09691+=+5%2Alog%28+1+%2B+r+%29+
+log%28+1+%2B+r+%29+=+.019382+
+10%5E.019382+=+1+%2B+r+
+1.04564+=+1+%2B+r+
+r+=+.04564+
--------------------------------------
+k%2Ah+=+h%2A%28+1+%2B+r+%29%5E1+
+k+=+1+%2B+.04564+
The growth factor for 1 day is 1.04564
-------------------------------------------
The % change in 1 day is 4.564%
--------------------------------------------
+f%28t%29+=+f%280%29%2A%28+1+%2B+.04564+%29%5Et+
------------------------------------
Get a 2nd opinion if needed