A 8-inch sunflower is planted in a garden and the height of the sunflower increases exponentially. The height of the sunflower increases by 25% every 6 days.What is the 6-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)=  The populations of Towns A, B, and C vary exponentially with respect to time.The population of Town A increases by 20% every 10 years. What is the annual percent change in the population of Town A?     % The population of Town B decreases by 18% every 6 years. What is the annual percent change in the population of Town B?     %The population of Town C triples every 15 years. What is the annual percent change in the population of Town C?     %

Question
Asked Oct 22, 2019
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A 8-inch sunflower is planted in a garden and the height of the sunflower increases exponentially. The height of the sunflower increases by 25% every 6 days.

  1. What is the 6-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)=

 

 

The populations of Towns A, B, and C vary exponentially with respect to time.

  1. The population of Town A increases by 20% every 10 years. What is the annual percent change in the population of Town A?     %

 

  • The population of Town B decreases by 18% every 6 years. What is the annual percent change in the population of Town B?     %

  • The population of Town C triples every 15 years. What is the annual percent change in the population of Town C?     %

 

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Expert Answer

Step 1

Since you have submitted two questions, we'll answer the first question. For the second question please submit the question again and specify it.

in 6 days it increases 25%= 0.25

So after 6 days its height is 1+0.25=1.25 times the original. 

So the 6 days  growth factor is 1.25

Answer(a): 6 day growth factor =1.25

Step 2

1 day growth factor = 1.25^(1/6)=1.03789

Answer: 1 day growth factor =1.03789 

Step 3

Growth rate of 1 day= 1.03789

So in 1 day it increased 1.03789-1=0.03789 = 0.03789 x 100%= 3.789%

A...

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Math

Calculus