Mathematics High School

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

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

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Answers

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Answers

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Step-by-step explanation:

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b.
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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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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.
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True False
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False
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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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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

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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