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Rashid [163]
3 years ago
13

Ashley is keeping track of the growth of a bamboo plant. When she purchased the plant last month its height was 8.75 inches. Its

height today is 9.5 inches. Assuming that the growth rate remains unchanged, which equation models the height of the bamboo plant after x months of growth? Using the graph, estimate the height of the plant in 6 months.
Mathematics
1 answer:
Margarita [4]3 years ago
7 0

Answer:


Step-by-step explanation:

Amount by which the plant gre in one month = 9.5 - 8.75 = 0.75  

Amount by which it will grow in x months = x * 0.75  

The hegiht of the plant after 6 months = amount it will grow by in 6 months + current heigt = 0.75x + 8.75  

Hence answer is  

d

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Students in a zoology class took a final exam. They took equivalent forms of the exam at monthly intervals thereafter. After t​
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Answer:

a. 73; b. 48.9; c. 2; d. 33.8; e. 73

Step-by-step explanation:

Assume the function was

S(t)= 73 - 15 ln(t + 1), t  ≥ 0

a. Average score at t = 0

S(0) = 73 - 15 ln(0 + 1) = 73 - 15 ln(1) = 73 - 15(0) =73 - 0 = 73

b. Average score at t = 4

S(4) = 73 - 15 ln(4 + 1) = 73 - 15 ln(5) = 73 - 15(1.61) =73 - 24.14 = 48.9

c. Average score at t =24

S(24) = 73 - 15 ln(24 + 1) = 73 - 15 ln(25) = 73 - 15(3.22) =73 - 48.28 = 24.7

d. Percent of answers retained

At t = 0. the students retained 73 % of the answers.

At t = 24, they retained 24.7 % of the answers.

\text{Percent retention} = \dfrac{\text{24.7}}{\text{73}} \times 100 \, \% = \text{33.8 \%}\\\\\text{The students retained $\large \boxed{\mathbf{33.8 \, \%}}$ of their original knowledge after two years.}

e. Maximum of the function

The maximum of the function is at t= 0.

Max = 73 %

The graph below shows your knowledge decay curve. Knowledge decays rapidly at first but slows as time goes on.

 

6 0
3 years ago
What is the correct description for the graph of the inequality, y < 42 – 3?
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Answer: The graph is a solid line. The test point (0,0) does not satisfy the inequality.


Explanation:
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2 years ago
Read 2 more answers
AB = 2x – 17, AC = 14, and BC = x + 1.<br> Find x.
Volgvan

9514 1404 393

Answer:

  • x = 10
  • AB = 3
  • BC = 11

Step-by-step explanation:

If B lies between A and C on a line segment, then ...

  AB +BC = AC

  (2x -17) +(x +1) = 14

  3x = 30 . . . . . . . . . . . . . add 16, collect terms

  x = 10 . . . . . . . . . . . divide by 3

  AB = 2(10)-17 = 3

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2 years ago
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