SOLUTION: A 8-inch sunflower is planted in a garden and the height of the sunflower increases exponentially, increasing by 18% per day. Write a function f that determines the height of th

Algebra ->  Finance -> SOLUTION: A 8-inch sunflower is planted in a garden and the height of the sunflower increases exponentially, increasing by 18% per day. Write a function f that determines the height of th      Log On


   

Question 1149027: A 8-inch sunflower is planted in a garden and the height of the sunflower increases exponentially, increasing by 18% per day.
Write a function f that determines the height of the sunflower (in inches) in terms of the number of days t since it was planted.
f
(t)=

How many days after it was planted will the sunflower be 27 inches tall?
days
How many days after it was planted will the sunflower be 149 inches tall?

days

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The initial height is 8; the daily growth factor is 1+18% = 100%+18% = 118% = 1.18.

(a) f%28t%29+=+8%281.18%29%5Et

(b) # of days for the height to reach 27

27+=+8%281.18%29%5Et

The variable is in an exponent; use logarithms.

Or graph "8(1.18)^t" and "27" on a graphing calculator and see where the graphs intersect.

(c) # of days for the height to reach 149

Same as (b), just different numbers....