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
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
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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Answer:
The 3rd column is the answer. I got it right