Need ! explain and show your work. a biologist is studying the growth of a particular species of algae. she writes the following equation to show the radius of the algae, f(d), in mm, after d days: f(d) = 7(1.06)d part a: when the biologist concluded her study, the radius of the algae was approximately 13.29 mm. what is a reasonable domain to plot the growth function? part b: what does the y-intercept of the graph of the function f(d) represent? part c: what is the average rate of change of the function f(d) from d = 4 to d = 11, and what does it represent?

a) you can graph the equation to see the value of d required to make f(d) be 13.29. it is about 11. then the domain of the function might reasonably be specified as the interval [0, 11]

b) the y-intercept is f(0) = 7, the radius of the algae when the biologist began her study.

c) the average rate of change of a function over the interval [a, b] is (f(b)-f(a))/(b-a). for this function, it is about 0.636 mm/day. this represents the average change in radius (mm) of the algae each day of the last week of the study.

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.