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
olga_2 [115]
2 years ago
13

Which table represents a direct variation? Table A x 4 6 8 10 y 7 9 11 13 Table B x 4 6 8 10 y 12 18 24 30 Table C x 4 6 8 10 y

1 3 5 7 Table D x 4 6 8 10 y 3 3 3 3 Table A Table B Table C Table D
Mathematics
2 answers:
Greeley [361]2 years ago
8 0

Answer:

We conclude that 'Table B' represents a direct variation.

Step-by-step explanation:

We know that when y varies directly with x, the equation is

y ∝ x

y = kx

k = y/x

where 'k' is called the constant of proportionality.

Table A

x     4 6 8 10

y     7 9 11 13

Finding k for all the pairs of x and y

k = y/x

k = 7/4, k = 9/6 = 3/2, k = 11 / 8, k = 13/11

As constant of proportionality 'k' does not remain constant.

Hence, table A does not represent a direct variation

Table B

x     4   6   8   10

y     12 18 24 30

Finding k all the pairs of x and y

k = y/x

k = 12/4 = 3, k = 18/6 = 3, k = 24/8 = 3, k = 30/10 = 3

As the constant of proportionality remains constant.

Therefore, the value of k = 3 for all the points in the table.

Hence, table B represents a direct variation.

Table C

x     4   6   8   10

y     1    3    5    7

Finding k all the pairs of x and y

k = y/x

k = 1/4, k = 3/6 = 1/2, k = 5/8, k = 7/10

As the constant of proportionality 'k' does not remain constant.

Hence, table C does not represent a direct variation.

Table D

x     4   6   8   10

y     3   3   3    3

Finding k all the pairs of x and y

k = y/x

k = 3/4, k = 3/6, k = 3/8, k = 3/10

As the constant of proportionality 'k' does not remain constant.

Hence, table D does not a direct variation.

Therefore, we conclude that 'Table B' represents a direct variation.

Eduardwww [97]2 years ago
8 0

Answer:

It's <u><em>Table B</em></u>

Step-by-step explanation:

I took the test on edge 2021                                          

                                                   

You might be interested in
Please help due tomarrow good luck
amid [387]

Answer:

125+1024x

if that didn't help

Sorry;-;

5 0
3 years ago
Read 2 more answers
Determine wheather the graphs of y = 2x+1 and y=-3X-7 are parallel, perpendicular, coincident, or none of these
Readme [11.4K]

Answer:

The two graphs are perpendicular

Step-by-step explanation:

The slope of the first one is the reciprocal of the second. Also I graphed it.

5 0
2 years ago
Michael is 5 years old than rui feng and. Vishal is thrice as old as micheal if rui feng is 3 years old find Michael present age
lorasvet [3.4K]

Answer:

a) Micheal's present age = 8 years old

b) The sum of their ages in 6 years time = 63 years.

Step-by-step explanation:

From the above question, we know that

Rui feng is 3 years old

We are told that

• Michael is 5 years old than Rui feng

Micheal's present age is calculated as:

= 5 + Rui feng's age

= 5 + 3 = 8 years

• Vishal is thrice as old as Micheal

Vishal's present age is calculated as

= 3(Micheal age)

= 3(8)

= 24 years.

The sum of their ages in six years time

= ( 3 + 6) +( 8 + 6) + ( 24 + 6)

= 18 + 15 + 30

= 63 years

Therefore, a) Micheal's present age = 8 years old

b) The sum of their ages in 6 years time = 63 years.

3 0
3 years ago
Find the Domain and Range (show work)
alexdok [17]

see attached picture for solutions:


8 0
2 years ago
Read 2 more answers
What is the serving of coffee? 1 quart, 1 ml, or 1 c
ruslelena [56]
1 quart I think tbh idk but i think .
5 0
3 years ago
Other questions:
  • Write a compound inequality that represents the evelation range for each type of plant life
    11·1 answer
  • There are 12 students in the gym class. If 4 students can sit on 1 bench, how many benches are needed for all students ?
    11·2 answers
  • Help me please thanks
    15·2 answers
  • The surface of each crystal has an area of
    8·1 answer
  • 7(x–1)–5(2x+2)=49<br> Please answer!
    12·2 answers
  • There are three choices for a drink three choices for an entree and two choices for dessert find the total number of possible ou
    5·2 answers
  • a new energy drink advertise 182 calories for 6 ounces how many calories are in 21 ounces of the drink? There are ____ calories
    8·2 answers
  • Math work help wanted
    9·1 answer
  • Callie made 24 cake pops for her neighbor. If it costs $1.25 to make one cake pop, how much did it cost to make 24 of them?
    15·1 answer
  • The actual weights of bags of pet food are normally distributed about the mean of 50.0 lb with a standard deviation of 0.2 lb.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!