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Mumz [18]
3 years ago
5

Find the constant of proportionality for the table of values.

Mathematics
1 answer:
Anna [14]3 years ago
4 0

The constant of proportionality k is 3.5

Step-by-step explanation:

Proportionality describes any relationship that is always in the same

ratio

If two quantities x and y are in proportionality, then

1. y ∝ x

2. y = k x , where k is the constant of proportionality

∵ x ⇒    6    ,    7      ,    8    ,    9

∵ y ⇒    21   ,   24.5 ,    28  ,    31.5  

∵ y ∝ x

∴ y = k x

- Use x = 6 and y = 21 to find the value of k

∵ x = 6 and y = 21

∴ 21 = k (6)

- Divide both sides by 6

∴ k = 3.5

- Use x = 7 and y = 24.5 to find the value of k

∵ x = 7 and y = 24.5

∴ 24.5 = k (7)

- Divide both sides by 7

∴ k = 3.5

- Use x = 8 and y = 28 to find the value of k

∵ x = 8 and y = 28

∴ 28 = k (8)

- Divide both sides by 8

∴ k = 3.5

- Use x = 9 and y = 31.5 to find the value of k

∵ x = 9 and y = 31.5

∴ 31.5 = k (9)

- Divide both sides by 9

∴ k = 3.5

The constant of proportionality k is 3.5

Learn more:

You can learn more about proportionality in brainly.com/question/10708697

#LearnwithBrainly

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</span>u + v  =  <span> {-6 ,  -4} </span>
3 0
3 years ago
A merchant buys a television for $125 and sells it for a retail price of $200. What is the markup
beks73 [17]
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200-125=$75

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5 0
3 years ago
Trey evaluated 12/15 + 1/10 and got an answer of 13
bija089 [108]

Answer:

C. His answer is correct because 12 + 1 = 13 and 15 + 10 = 25.

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
When will these two lines intersect <br>C. y=-2x +3<br>y = x​
Andrej [43]

Answer:

The intersection point  of the given lines is  (1,1).

Step-by-step explanation:

Here, the given equations are:

y  =  - 2 x +  3

y  =  x​

Substitute y = x in  the first equation,

y   = -2 x  +  3 becomes      y =  -2 (y)  + 3

or, y + 2 y = 3

or, 3 y = 3  ⇒  y = 3/3 = 1

⇒  y =  1

Now, as x =  y ⇒ x =   1

Hence, the intersection points of the given lines is  (1,1).

8 0
3 years ago
Which of these is equivalent to the following expression? 5s - 11b + 3s - 12b A. -b + 8s -B.23b + 2sC. -23b + 8s D. b + 8s
Marina86 [1]

Answer:

Option b) and c) are correct

Step-by-step explanation:

Given expression is  5s - 11b + 3s - 12b

5s - 11b + 3s - 12b=8s-23b (Rearranging the right hand side terms)

5s - 11b + 3s - 12b =-23b+8s

Option c) is correct

By the definition of equivalent the given expression is the sum of the two terms ( the terms may vary or equal)

From the definition of equivalent we get, Option b) is also correct

Therefore  Option b) and c) are correct

4 0
3 years ago
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