# Functions, Graphs, Momentum and Collision and

*label*Mathematics

*timer*Asked: Jan 20th, 2019

*account_balance_wallet*$75

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## Tutor Answer

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

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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

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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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