Question

complete the table. then, plot the pairs of values on the coordinate plane.
3 6 9 12 15
5

complete the table.
3 6 9 12 15
5

Explanation:

Step1: Identify the pattern

Assume a linear relationship. Let's check the first pair (3,5). If we consider a constant difference or ratio. Wait, maybe the second row is also following the same as the first? Wait, no, maybe it's a proportional relationship? Wait, the first row: 3,6,9,12,15. The difference between consecutive terms is 3 (6 - 3 = 3, 9 - 6 = 3, etc.). If the second row is also a linear sequence, but wait, the first term is 5. Wait, maybe it's a proportional relationship? Wait, 3 corresponds to 5. Let's see the ratio of first row to second row? 3/5? No, maybe the second row is constant? No, that doesn't make sense. Wait, maybe the problem is that the second row is also increasing by a constant? Wait, no, the first row is 3,6,9,12,15 (multiples of 3). Wait, maybe the second row is also multiples? Wait, 3 (5/3) = 5. So 6(5/3)=10, 9(5/3)=15, 12(5/3)=20, 15(5/3)=25. Let's check: 3 (5/3)=5, correct. So the pattern is second row = (5/3)*first row. So:

For 6: (5/3)*6 = 10

For 9: (5/3)*9 = 15

For 12: (5/3)*12 = 20

For 15: (5/3)*15 = 25

Step2: Calculate each value

• For x = 6: (5/3)*6 = 10
• For x = 9: (5/3)*9 = 15
• For x = 12: (5/3)*12 = 20
• For x = 15: (5/3)*15 = 25

Answer:

The completed table is:

3	6	9	12	15

So the values in the boxes (from left to right) are 10, 15, 20, 25.