1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
Given: ABCD is a trapezoid with AB || DC. If m∠A = 125 and m∠B = 99, find m∠C/
Pavlova-9 [17]

Answer:

The measure of angle C is 81\°

Step-by-step explanation:

we know that

If AB || DC

then

m -----> supplementary angles by consecutive interior angles

and remember that the sum of the interior angles in a trapezoid is equal to 360 degrees

m

step 1

Find the measure of angle D

m

substitute the measure of angle A

125\°+m

m

step 2

Find the measure of angle C

m

substitute the values

125\°+99\°+m

m

5 0
3 years ago
What is the area of the shaded region?<br> PLEASE ANSWER AS SOON AS POSSIBKE
9966 [12]

Answer:

74

Step-by-step explanation:

6 0
3 years ago
To ________ a formula or equation for a specified variable means to rearrange it so that the variable appears alone on one side
julia-pushkina [17]
Hello There! ^_^

Your question: To ________ a formula or equation for a specified variable means to rearrange it so that the variable appears alone on one side of the equal sign.

Your answer: To solve <span>a formula or equation for a specified variable means to rearrange it so that the variable appears alone on one side of the equal sign.
</span>
The answer is solve to fill up the blank.

Hope this helps!





7 0
3 years ago
Read 2 more answers
The terminal point of Dis ( 1/2,3/2). What is cos 0?
nydimaria [60]

Answer:

<em>(c). </em>\frac{1}{2}<em> </em>

Step-by-step explanation:

The <u><em>cosine</em></u> is the <em>"x" coordinate</em> of the terminal point on the unit circle.

Thus the answer is <em>(c). </em>\frac{1}{2}

5 0
3 years ago
Help me solve this please
Luden [163]

A_\triangle=\dfrac{bh}{2}

b=10,\ h=x,\ A_\triangle\geq8

Answer:\ \dfrac{10x}{2}\geq8\to5x\geq8

3 0
3 years ago
Other questions:
  • Whats bigger im so confused math is hard order from greatest to least 2/3 0.67 5/9 0.58 7/12.   Thanks
    12·2 answers
  • Side ST=5, side US=8, side VW=5, and side XV=8. What side corresponds to side TU and can be used to show that triangle STU is co
    11·1 answer
  • How many decigrams are in 14 hectograms?
    11·1 answer
  • Barbara has $70.00 in her pocket and a $20 gift card. Which purchase will she be able to make without having to use her credit c
    13·1 answer
  • Which point best represents v10 ?
    15·1 answer
  • Don’t get it help me !
    9·1 answer
  • C2 - 6c-5<br> Evaluate the expression when c = -2
    5·1 answer
  • Which of these choices are written in Scientific notation?
    9·1 answer
  • Product is to multiplications as quotient is to​
    7·1 answer
  • Please anyone solve this for me..No spam.​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!