Tons

Question

2
4
10
12
Pounds
4,000
8,000
20,000
40,000
What error did the student most likely make?
(1 point)
• The student used the ratio of 2:2,000 instead of 1:2,000.
• The student used the ratio of 1:4,000 instead of 2:4,000.
• The student multiplied by 6 instead of 10.
• The student multiplied by 10 instead of 6.

Answer 1

To determine the most likely error made by the student, let's analyze the data provided.

The values given in tons and pounds are:

• 2 tons = 4,000 pounds
• 4 tons = 8,000 pounds
• 10 tons = 20,000 pounds
• 12 tons = 24,000 pounds

Since 1 ton is equal to 2,000 pounds, the correct conversions from tons to pounds are based on multiplying the number of tons by 2,000.

Now, let's evaluate the possible errors:

1. The student used the ratio of 2:2,000 instead of 1:2,000.
   This would suggest an incorrect understanding of the ton-to-pound conversion. The correct conversion is 1 ton = 2,000 pounds. Therefore, this error doesn't seem likely.

2. The student used the ratio of 1:4,000 instead of 2:4,000.
   This doesn't apply here because the conversions are based on a ratio of 2,000 pounds per ton, not involving 4,000.

3. The student multiplied by 6 instead of 10.
   This scenario is unlikely without specific context showing why this multiplication would occur.

4. The student multiplied by 10 instead of 6.
   Similar to point 3; without more context, we cannot ascertain where this error would originate.

Given our analysis, the first option seems to be the most relevant, as it highlights a misunderstanding of the correct ton-to-pound conversion. Therefore:

The student used the ratio of 2:2,000 instead of 1:2,000.

This option signifies a misunderstanding of how many pounds are in one ton.