Fill in the missing values in the table. Then determine the constant of proportionality.

blank 1) 2 1/3 yards
feet
blank 2)
yards: 3 feet
blank 3) 2 yards :
feet
blank 4)
yards: 4.5 feet
The constant of proportionality is

Fill In The Missing Values In The Table. Then Determine The Constant Of Proportionality.blank 1) 2 1/3

Answers

Answer 1

Answer:

Blank 1) 2 1/3 yards : 7 Feet

Blank 2) 1 yards : 3 Feet

Blank 3) 2 yards : 6 Feet

Blank 4) 1.5 yards : 4.5 Feet

Therefore, the constant of proportionality is: k = 3

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

Here, k is the constant of proportionality.

From the table, taking the first two points to determine the constant of proportionality.

Yards                Feet

1/2                       1.5

1/3                        1

Using the equation

substituting y = 1.5 and x = 1/2

y = kx

k = y/x

k = (1.5) / (1/2)

k = 1.5 / 0.5

k = 3

also substituting  y = 1 and x = 1/3

k = y/x

k = 1 / (1/3)

k = 3

As the constant of proportionality is the same.

Therefore, the constant of proportionality = k = 3

Determining Blank 1

Yards = x = 2 1/3 = 7/3

y = blank 1 = Feet ?

k = 3

Using the equation

y = kx

blank 1 = Feet = y = 3 (7/3)

blank 1 = Feet = y = 7

Therefore, Blank 1 = y = Feet =  7

In other words,

When Yards = 2 1/3, then Feet = 7

Determining Blank 2

Feet = y = 3

Blank 2 = x = yards ?

k = 3

Using the equation

y = kx

Blank 2 = x = yards =  y/k    

Blank 2  = x = yards = 3/3

Blank 2 = x = yards = 1

Therefore, Blank 2 = yards = x = 1

In other words,

When Yards = 1, then Feet = 3

Determining Blank 3

yards = x = 2

Blank 3 = y = Feet ?

k = 3

Using the equation

y = kx

y = Blank 3 = Feet = 3(2)

y = Blank 3 = Feet = 6

Therefore, Blank 3 = Feet = y = 6

In other words,

When Yards = 2, then Feet = 6

Determining Blank 4

Feet = y = 4.5

Blank 4 = x = Yards ?

k = 3

Using the equation

y = kx

x = Blank 4 = y/k

x = Blank 4 = 4.5/3

x = Blank 4 = 1.5

Therefore, Blank 4 = x = Yards= 1.5

In other words,

When Yards = 1.5, then Feet = 4.5

Summary:

Blank 1) 2 1/3 yards : 7 Feet

Blank 2) 1 yards : 3 Feet

Blank 3) 2 yards : 6 Feet

Blank 4) 1.5 yards : 4.5 Feet

Therefore, the constant of proportionality is: k = 3


Related Questions

Graph B
Graph
2
0
1 2 3 4 5 6
Time s)
Time (s)
0 1 2 3 4
Time (s)
Based on the graphs, choose True or False for each statement.
a. Graph B shows a proportional relationship
between distance and time.
True False
b. In Graph A, the constant of proportionality
between distance and time is :
True False
c. Graph C shows an object that speeds up over time.
True False
d. The unit rate in Graph B is 2 feet per second.
False
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108
Lesson 1 Retroportional
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Answers

Step-by-step explanation:

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Answers

Answer:

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Multiply 3*8 and you get 24

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Answers

Answer:

Closed boundary point

Step-by-step explanation:

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Answers

Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

x4

\begin{gathered}4 + 12 = 16 \\ 6 \times 4 - 8 = 16 \\ 4 \times 4 = 16\end{gathered}

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Answers

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Step-by-step explanation:

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Answers

where the question cuz i don’t see it

Answer:

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Answers

Answer:

y=3

Step-by-step explanation:

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Step 2: Subtract 17 from both sides.

−9y+17−17=−10−17

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−9

=

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Answer:

The answer is Y=3

Step-by-step explanation:

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Answers

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Step-by-step explanation:

Maine has a cold climate in winter which means that we can expect cold weather when winter season reaches Maine.

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Tickets for a school jazz concert were sold before the concert and at the door. After reviewing ticket sales, the band director found that 80 fewer tickets were purchased at the door than before the concert. A total of 520 tickets were sold. Let d represent the number of tickets sold at the door and b represent the number of tickets sold before the concert. Latifa wrote the following system of linear equations to find the number of each type of ticket sold:

Answers

Answer:

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Step-by-step explanation:

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Answers

The answer is is freaking A bro

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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Answers

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Work in pic:

Answer:

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Answers

Answer:

the tens place and it's worth 40

Step-by-step explanation:

Answer:

tens place

Step-by-step explanation:

Because the decimal equals to the (Zero)'s place, which means it equals nothing. but as you go up, the value gets higher and higher, and as you go down, the value gets lower and lower

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EX: the 2 is in the ones

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Answers

Answer:

The range of possible values of x are;

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Step-by-step explanation:

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x > 54/9

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