Does the table below show a proportional relationship?

Question

Shirts Prices
12 60
6 30
7 35
10 50
8 32
Group of answer choices

No

Yes

Answer 1

To determine if the table shows a proportional relationship, we need to check if the ratio of prices to the number of shirts is constant.

Let's calculate the ratio of price to the number of shirts for each pair:

1. For 12 shirts at $60:
   Ratio = 60 / 12 = 5

2. For 6 shirts at $30:
   Ratio = 30 / 6 = 5

3. For 7 shirts at $35:
   Ratio = 35 / 7 = 5

4. For 10 shirts at $50:
   Ratio = 50 / 10 = 5

5. For 8 shirts at $32:
   Ratio = 32 / 8 = 4

Now we can summarize the ratios:

• 12 shirts: 5
• 6 shirts: 5
• 7 shirts: 5
• 10 shirts: 5
• 8 shirts: 4

Since the ratio for the last pair (8 shirts, $32) is 4 and not 5, the ratios are not constant. Therefore, the table does not show a proportional relationship.

The answer is No.