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) = 11(1.01) Part A: When the biologist concluded her study, the radius of the algae was approximately 11.79 mm. What is a reasonable domain to plot the growth function? (4 points) Part B: What does the y-intercept of the graph of the function f(d) represent? (2 points) Part C: What is the average rate of change of the function f(d) from d = 2 to d = 7, and what does it represent? (4 points)

Step-by-step explanation:

Given function:

y- intercept is obtained when domain = 0

Average rate of change

Part A

f(d) = 11.79

11.79=11(1.01)^d

(1.01)^d = 11.79/11

(1.01)^d = 1.071818

d = log 1.071818 /log 1.01

d = 6.97

Part B

y- intercept is obtained when domain = 0

d = 0 ⇒ f(0) = 11(1.01)^0 = 11*1 = 11

f(d) = 11

Part C

Average rate of change

Δf/Δd=

(f(7) - f(2)) / (7 - 2) =

(11(1.01)^7 - 11(1.01)^2) / 5 =

0.57 / 5 =

0.114

Step-by-step explanation:

2.

according to newton’s cannonball model, what happens if the cannonball's velocity is enough to overpower the pull of earth’s gravitystep-by-step explanation:

7.3

step-by-step explanation: