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

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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)   (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)

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



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....


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