Math Models Trigonometry

  

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Math | Graded Assignment | Unit Test, Part 2 | More Math Models
Name:
Date:
Graded Assignment
Unit Test, Part 2: More Math Models
Answer the questions. When you have finished, submit this assignment to your teacher by the due date for
full credit.
(10 points)
1.
There are 400 rice weevils at the beginning of an insect study. The population is
expected to grow at a rate of 150% each week.
Score
A. Write and simplify a formula that can be used to predict the rice weevil population
for any week after the beginning of the study.
B. Use the formula to predict the rice weevil population 10 weeks after the beginning of the study. Show
your work.
C. Use the formula to predict when the rice weevil population will reach 1,000,000,000. Show your work.
Answer:
© 2014 K12 Inc. All rights reserved.
Copying or distributing without K12’s written consent is prohibited.
Page 1 of 3
Math | Graded Assignment | Unit Test, Part 2 | More Math Models
(8 points)
2.
The graph shows the vertical displacement y, in centimeters, that a weight bouncing
from a spring would achieve if there were no friction, for a given number of seconds, x.
Score
A. What is the weight’s maximum displacement?
B. From its resting position, how long does it take the weight to bounce one direction, then the other,
and then return to its resting position?
C. What is the graph’s frequency and what does it indicate in this situation?
D. How is the weight moving during the time period x = 6 to x = 7.5?
Answer:
© 2014 K12 Inc. All rights reserved.
Copying or distributing without K12’s written consent is prohibited.
Page 2 of 3
Math | Graded Assignment | Unit Test, Part 2 | More Math Models
Your Score
© 2014 K12 Inc. All rights reserved.
Copying or distributing without K12’s written consent is prohibited.
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