# Functions, Graphs, Momentum and Collision and

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account_balance_wallet \$75

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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:

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?
(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

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

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.

(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

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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