Question 1200566
plant is 11 inches high to start with.
growth factor is 1.25 every 4 days.
answers to your questions are shown below:


(a) What is the 4-day growth factor for the height of the sunflower?


4 days growth factor is 1.25


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


1 day growth factor is 1.25 ^ (1/4) = 1.057371263 rounded to the number of decimal digits that can be displayed.


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


1 day percent change for the height of the unflower is (1.057371263 - 1) * 100 = 5.7371263%.


((d) Write a function f that determines the height of the sunflower (in inches) in terms of the number of days since the sunflower was planted.


h = 11 * 1.25 ^ (x/4)


x is the number of days.


you can graph this function as shown below:


<img src = "http://theo.x10hosting.com/2023/022403.jpg">


after 1 day, the plant has grown by a factor of 1.25 ^ (1/4).
11 * 1.25 ^ (1/4) is equal to 11.6310839.
the growth factor is 1.25 ^ (1/4) = 1.057371263.
the percent change is 5.7371263%.


by using the 4 day growth factor and dividing the number of days by 4, you automatically get the 1 day growth factor.