Math, asked by mackhai000, 6 months ago

Which table of ordered pairs represents a proportional relationship? A 2-column table with 3 rows. Column 1 is labeled x with entries 0, 5, 10. Column 2 is labeled y with entries 10, 20, 30. A 2-column table with 3 rows. Column 1 is labeled x with entries 2, 4, 6. Column 2 is labeled y with entries 10, 20, 30. A 2-column table with 3 rows. Column 1 is labeled x with entries 1, 2, 3. Column 2 is labeled y with entries 2, 3, 4. A 2-column table with 3 rows. Column 1 is labeled x with entries 1, 3, 4. Column 2 is labeled y with entries 4, 10, 13

Answers

Answered by amitnrw
13

Given : 4 table  of ordered pairs

To find : Which table of ordered pairs represents a proportional relationship

Solution:

graph of a proportional relationship must pass through (0, 0).

y = kx  

Column 1      Column 2

0                      10

5                      20

10                     30

Slope = (20 - 10)/( 5 - 0)  = 10/5 = 2

y - 10 = 2 ( x - 0)

=> y = 2x + 10  linear but not proportional

Column 1      Column 2

2                      10

4                      20

6                      30

Slope = (20 - 10)/(4 - 2)  = 5

y - 10 = 5(x - 2)

=> y = 5x  proportional

Column 1      Column 2

1                     2

2                    3

3                     4

Slope = 1

y - 2 = 1(x - 1)

=> y = x + 1    linear but not proportional

Column 1      Column 2

1                     4

3                    10

4                    13

Slope = 3

y - 4 = 3(x - 1)

=> y = 3x + 1  linear but not proportional

proportional   relationship

Column 1      Column 2

2                      10

4                      20

6                      30

Slope = (20 - 10)/(4 - 2)  = 5

y - 10 = 5(x - 2)

=> y = 5x  proportional

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Answered by carriganjonesc2751
8

Answer:

Step-by-step explanation:

c

        6       3

       10      5

       14      7

edge 2021

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