millershania45
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PLEASE HELP MAX POINTS AND BRAINLIEST!!!
(04.03 MC)
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? (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 = 4 to d = 11, and what does it represent? (4 points)

Respuesta :

#1

As d is days

So days can't be negative

hence domain is W or Whole numbers set.

But according to the equation

  • y=7(1.06)^d
  • 13.29=7(1.06)^d
  • 1.06^d=1.898
  • dln1.06=ln1.898
  • d=1.79

Round to next whole as it's no of days

d=2

Domain=[2,oo)

#b

Put d=0

f(0)

  • 7(1.06)^(0)
  • 7

It passes through (0,7)

But 0 is not in domain ,hence no y intercept in real

#C

f(11)

  • 7(1.06)¹¹
  • 13.28

f(4)

  • 7(1.06)⁴
  • 8.83

Rate of change

  • f(11)-f(4)/11-4
  • 13.28-8.83/7
  • 0.6

It represents change in radius

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