Functions, Graphs, Momentum and Collision and

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Math | Graded Assignment | Unit Test, Part 2 | Functions Name: Date: Graded Assignment Unit Test, Part 2: Functions Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for full credit. Total score: ____ of 15 points (Score for Question 1: ___ of 5 points) 1. Ana was washing dishes at the end of her shift at a restaurant. She washed 30 plates from 7:30 to 7:35. When she finishes washing all the plates, her shift will end. (a) If she started washing plates at 7:15 and ended at 7:38, estimate how many plates she washed in total. Explain your reasoning. (b) Write an equation to represent how many plates Ana has left to wash at a particular time after her start at 7:15. Explain your reasoning. Answer: © 2016 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 | Functions (Score for Question 2: ___ of 5 points) 2. A skydiver jumps from a plane from an altitude of 6000 ft. An observer on the ground measures the skydiver’s altitude at time t = 0 to be 4500 ft. The linear graph shows the skydiver’s altitude at various times during her descent. y Skydiver’s Altitude Altitude (ft) 6000 5000 (0, 4500) 4000 (1, 3000) 3000 2000 (2, 1500) (3, 0) 1000 0 1 2 3 x 4 Time (min) (a) Identify the y-intercept. How does the y-intercept relate to the skydiver’s position relative to the ground? Explain. (b) Determine the slope of the line. According to the slope, is the skydiver ascending or descending and what is the rate of ascent or descent? Explain. (c) Identify the x-intercept. What does the x-intercept mean in this context? Explain. (d) Write an equation for the line. Answer: © 2016 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 | Functions (Score for Question 3: ___ of 5 points) 3. Manuel is riding his bike. The graph represents the distance Manuel travels from his house over time. Manuel’s Distance Distance y x Time Describe what is happening as depicted in the graph. Answer: © 2016 K12 Inc. All rights reserved. Copying or distributing without K12’s written consent is prohibited. Page 3 of 3 Math | Graded Assignment | Semester Test, Part 2 | Semester 1 Name: Date: Graded Assignment Semester Test, Part 2: Semester 1 Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for full credit. Total score: ____ of 30 points (Score for Question 1: ___ of 8 points) 1. Use the table and the graph to answer the questions. Function 1 x −1 −2 −3 2 3 y 3 5 7 −3 −5 Function 2 (a) What is the rate of change for each function? Show your work. (b) Which function has the greater rate of change? Answer: © 2016 K12 Inc. All rights reserved. Copying or distributing without K12’s written consent is prohibited. Page 1 of 3 Math | Graded Assignment | Semester Test, Part 2 | Semester 1 (Score for Question 2: ___ of 12 points) 2. The restaurant bill you and your friend received was not itemized. You ordered 2 drink refills and the egg breakfast, for a total of $8.40. Your friend ordered 3 refills and the egg breakfast for $9.35. (a) Write a system of equations for the situation. Use r for the amount charged for a refill and b for the amount charged for the egg breakfast. (b) Graph the equations in the system. (c) Use your graph to estimate how much each item cost. Answer: © 2016 K12 Inc. All rights reserved. Copying or distributing without K12’s written consent is prohibited. Page 2 of 3 Math | Graded Assignment | Semester Test, Part 2 | Semester 1 (Score for Question 3: ___ of 10 points) 3. The distance to the sun is approximately 93,000,000 mi. A firefly is about 0.04 in. long. (a) What is the distance to the sun written in scientific notation? (b) What is the length of a firefly written in scientific notation? (c) The distance to the sun in inches is 1.116  109 . How many fireflies would it take to reach the sun if they were put end to end? Answer: © 2016 K12 Inc. All rights reserved. Copying or distributing without K12’s written consent is prohibited. Page 3 of 3 Assignment: Momentum and Collision Math 1. While skiing, Sam flies down a hill and hits a jump. He has a mass of 75 kg, and he leaves the jump at 18 m/s. What is his momentum as he leaves the jump? 2. How fast would a 0.25 kg football have to be traveling to have the same momentum as a 0.05 kg bullet travelling 500 m/s? 3. Sarah, who has a mass of 55 kg, is riding in a car at 20 m/s. She sees a cat crossing the street and slams on the brakes! Her seatbelt stops her from flying forward, bringing her to rest in 0.5 seconds. How much force did the seatbelt put on Sarah? 4. A big league hitter attacks a fastball! The ball has a mass of 0.16 kg. It is pitched at 38 m/s. After the player hits the ball, it is now traveling 44 m/s in the opposite direction. The impact lasted 0.002 seconds. How big of a force did the ballplayer put on that ball? 5. Someone fires a 0.04 kg bullet at a block of wood that has a mass of 0.5 kg. (The block of wood is sitting on a frictionless surface, so it moves freely when the bullet hits it). The wood block is initially at rest. The bullet is traveling 300 m/s when it hits the wood block and sticks inside it. Now the bullet and the wood block move together as one object. How fast are they traveling? 6. Two kids are roller skating. Amy, with a mass of 55 kg, is traveling forward at 3 m/s. Jenny, who has a mass of 40 kg, is traveling in the opposite direction at 5 m/s. They crash into each other and hold onto each other so that they move as one mass. How fast are they traveling? 7. Jake is bowling with a 8 kg bowling ball. He rolls the ball at 7 m/s, and it hits one stationary pin with a mass of 2 kg. The pin goes flying forward at 12 m/s. How fast is the bowling ball now traveling? 8. John has to hit a bottle with a ball to win a prize. He throws a 0.4 kg ball with a velocity of 18 m/s. It hits a 0.2 kg bottle, and the bottle flies forward at 25 m/s. How fast is the ball traveling after hitting the bottle? ...
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Tutor Answer

brooke854
School: Duke University

Hello, attached are the assignment, kindly go through them and let me know what you think.thank you

Math | Graded Assignment | Semester Test, Part 2 | Semester 1

Name:

Date:

Graded Assignment
Semester Test, Part 2: Semester 1
Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for
full credit.
Total score: ____ of 30 points
(Score for Question 1: ___ of 8 points)

1. Use the table and the graph to answer the questions.
Function 1
x

−1

−2

−3

2

3

y

3

5

7

−3

−5

Function 2

(a) What is the rate of change for each function? Show your work.
(b) Which function has the greater rate of change?
Answer:
(a) To obtain the rates of change of the two functions take two points on the functions and
proceed as follows;
∆𝒚 𝒚𝟐 − 𝒚𝟏
=
∆𝒙 𝒙𝟐 − 𝒙𝟏
Function 1
∆𝒚 −𝟓 − 𝟑
=
∆𝒙 𝟑 − −𝟏
= -2
Function 2

© 2016 K12 Inc. All rights reserved.
Copying or distributing without K12’s written consent is prohibited.

Page 1 of 4

Math | Graded Assignment | Semester Test, Part 2 | Semester 1

∆𝒚
𝟒−𝟎
=
∆𝒙 𝟎 − −𝟏
=4
(b) Function 2 has a higher rate of 4

© 2016 K12 Inc. All rights reserved.
Copying or distributing without K12’s written consent is prohibited.

Page 2 of 4

Math | Graded Assignment | Semester Test, Part 2 | Semester 1

(Score for Question 2: ___ of 12 points)

2. The restaurant bill you and your friend received was not itemized. You ordered 2 drink refills and the egg
breakfast, for a total of $8.40. Your friend ordered 3 refills and the egg breakfast for $9.35.
(a) Write a system of equations for the situation. Use r for the amount charged for a refill and b for the
amount charged for the egg breakfast.
(b) Graph the equations in the system.
(c) Use your graph to estimate how much each item cost.

Answer:
(a) You
2r + b = 8.40
b = -2r + 8.40
Friend
3r + b = 9.35
b = -3r +9.35
(b)

(b) From the graph we can estimate how much each item as, refill is about $.95 and
breakfast is $6.50

© 2016 K12 Inc. All rights reserved.
Copying or distributing without K12’s written consent is prohibited.

Page 3 of 4

Math | Graded Assignment | Semester Test, Part 2 | Semester 1

(Score for Question 3: ___ ...

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Anonymous
Tutor went the extra mile to help me with this essay. Citations were a bit shaky but I appreciated how well he handled APA styles and how ok he was to change them even though I didnt specify. Got a B+ which is believable and acceptable.

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