Texas Go Math Grade 8 Module 6 Quiz Answer Key

Refer to our Texas Go Math Grade 8 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 8 Module 6 Quiz Answer Key.

Texas Go Math Grade 8 Module 6 Quiz Answer Key

Texas Go Math Grade 8 Module 6 Ready to Go On? Answer Key

6.1 Identifying and Representing Functions

Determine whether each relationship is a function.

Question 1.
Texas Go Math Grade 8 Module 6 Quiz Answer Key 1
Answer:
Not a function A relationship is a function when each input is paired with exactly one output. The input 5 has more than one output

Grade 8 Module 6 Quiz Answer Key 2

Go Math Grade 8 Module 6 Answer Key Question 2.
Texas Go Math Grade 8 Module 6 Quiz Answer Key 2
Answer:
To determine the answer here, we will review the definition of a function.

A certain relationship represents a function if every input is paired with only one output. Considering the fact that in a given table every input has only one output we can conclude that it represents a function.

Question 3.
(2, 5), (7, 2), (-3, 4), (2, 9), (1, 1)
Answer:
Not a function A relationship is a function when each input is paired with exactly one output. Input 2 has more than one output

6.2 Describing Functions

Determine whether each situation is linear or nonlinear, and proportional or nonproportional.

Grade 8 Module 6 Quiz Answer Key Question 4.
Joanna is paid $14 per hour.
Answer:
To determine if the situation is linear or nonlinear. Let us analyze if we can express the situation in a linear equation.
Given the situation Joana is paid $14 per hour, we can express this in a linear equation using the slope-intercept from y = mx + b.
Let y be the amount to be paid to Joana x be the number of hours m is the rate of payment per hour

The equation that can be formed is y = 4x

Since the equation formed is a linear equation, then the situation is linear.

To determine if the given situation is proportional or nonproportional, let us have the equation y = 4x and determine the value of b. If b = 0, then the equation is proportional and if b ≠ 0, then the equation is nonproportional
Since the equation of the given situation is y = 4x, where b = 0, then the equation is proportional.
Thus, the situation is proportional.
linear; proportional

Question 5.
Alberto started out bench pressing 50 pounds. He then added 5 pounds every week.
Answer:
To determine if the situation is linear or nonlinear. Let us analyze if we can express the situation in a linear equation.

Given the problem “Alberto started out bench pressing 50 pounds. He then added 5 pounds every week”. We can
express this in the linear equation using the slope-intercept form y = mx + b.
Let y be the number of Alberto’s bench pressing in pounds
x be the number of weeks
m be the additional pounds every week
b be the number of pounds when Alberto started bench pressing

The equation that can be formed where m = 5 and b = 50 is
y = mx + b
y = 5x + 50
Since the equation formed is a linear equation, then the situation is linear.
To determine if the given situation is proportional or nonproportional, let us have the equation and determine the
value of b. If b = 0, then the equation is proportional if b ≠ 0, then the equation is nonproportional.

Since the equation of the given situation is y = 5x + 50, where b ≠ 0, then the equation is nonproportional.
Thus, the situation is nonproportional.
linear; nonproportional

6.3 Comparing Functions

Question 6.
Which function is changing more quickly? Explain.
Texas Go Math Grade 8 Module 6 Quiz Answer Key 3
Answer:
To determine the answer here, we will calculate the average rate of change for given functions. We will calculate
the rate using following formula:
Texas Go Math Grade 8 Module 6 Quiz Answer Key 9
Therefore, we can calculate the average rate of change for function 1 as following:
Rate of change = \(\frac{0-20}{5-0}\)
= -4

Let’s calculate the rate of change for function 2:
\begin{align*}
\text{ Rate of change}&=\dfrac{2-11}{4-2}\\
&=-4.5
\end{align}

To determine which function is changing more quickly, we have to compare the absolute values of obtained
numbers. Considering the fact that:
|-4| < |-4.5|,
we can conclude that function 2 changes more quickly.

Essential Question

Go Math Grade 8 Module 6 Answer Key Question 7.
How can you use functions to solve real-world problems?
Answer:
The situation gives a graph that is a straight line which is linear since it is stated that Sam is running at a constant
rate, meaning the distance covered per unit of time is always of the same value.

Another thing is that, since the distance covered per unit of time is always of the same value, the graph has a
proportional relationship that passes through the origin.

See the explanation.

Texas Go Math Grade 8 Module 6 Mixed Review Texas Test Prep Answer Key

Selected Response

Question 1.
Which table shows a proportional function?
Texas Go Math Grade 8 Module 6 Quiz Answer Key 4
Answer:
Texas Go Math Grade 8 Module 6 Quiz Answer Key 10

Explanation:
Option C represents a proportional relationship. It contains the ordered pair of the origin (0, 0)

Question 2.
Which term does not correctly describe the relationship shown in the table?
Texas Go Math Grade 8 Module 6 Quiz Answer Key 5
(A) function
(B) linear
(C) proportional
(D) nonproportional
Answer: (B) linear
Texas Go Math Grade 8 Module 6 Mixed Review Texas Test Prep Answer Key_2
Option B is the correct answer.

Question 3.
The table below shows some input and output values of a function.
Texas Go Math Grade 8 Module 6 Quiz Answer Key 6
What is the missing output value?
(A) 20
(B) 21
(C) 22
(D) 23
Answer:
17.5 – 14 = 3.5
17.5 + 3.5 = 21
Texas-Go-Math-Grade-8-Module-6-Quiz-Answer-Key-6
Option B is the correct answer.

Go Math Grade 8 Module 6 Answer Key Pdf Question 4.
Which number is not rational?
(A) -7
(B) \(\sqrt{25}\)
(C) 0.33
(D) \(\sqrt{15}\)
Answer:
(A) -7 is a rational number because 7 corresponds to the definition of a rational number.
(B) \(\sqrt{25}\) is a rational number.
(C) 0.33 is a rational number.
(D) \(\sqrt{15}\) The square root of 15 is not a rational number. It is an irrational number.

Grade 8 Module 6 Quiz Answer Key 3

Question 5.
Which of the relationships below is a function?
Texas Go Math Grade 8 Module 6 Quiz Answer Key 7
Answer: B is a function

Gridded Response

8th Grade Module 6 Module Quiz Ready To Go On Question 6.
A dance school charges a registration fee in addition to a fee per lesson. The equation y = 30x + 25 represents the total cost y of x lessons. What is the cost per lesson?
Texas Go Math Grade 8 Module 6 Quiz Answer Key 8
Answer:
Given,
A dance school charges a registration fee in addition to a fee per lesson.
The equation y = 30x + 25 represents the total cost y of x lessons.
25 indicates the registration fee
30 indicates the cost per lesson.
Texas-Go-Math-Grade-8-Module-6-Quiz-Answer-Key-8

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