Multiple Choice Question

Question

The table shown represents pairs of values that form equivalent y:x ratios.


x y
2 6
5 15
8 24
11 33

Which table uses the same ratio as the ratio in the table above?

Answer 1

To find another table that uses the same ratio as the one provided (y:x), we first need to determine the y:x ratios in the given table.

Calculating the ratios for each pair:

1. For (2, 6):
   • Ratio = y/x = 6/2 = 3
2. For (5, 15):
   • Ratio = y/x = 15/5 = 3
3. For (8, 24):
   • Ratio = y/x = 24/8 = 3
4. For (11, 33):
   • Ratio = y/x = 33/11 = 3

In all cases, y/x simplifies to 3.

Now, we need to identify if another table has the same ratio of 3.

For instance:

• If we have (4, 12):
  • Ratio = 12/4 = 3
• If we have (10, 30):
  • Ratio = 30/10 = 3

Therefore, any table that maintains the ratio of 3 (like (4, 12), (10, 30), etc.) will have the same ratio as the original table.

Please provide the options for the new table, and I'll help you determine which one(s) use the same ratio.