Cameras R Us has a sale for 25% off camera bags, which is a discount of $20. To find the original cost of the camera bag, Tara creates the following diagram.

Question

A 2-column table with 6 rows. Column 1 has entries 20 percent, 20 percent, 20 percent, 20 percent, 20 percent, Total 100 percent. Column 2 has entries 25 dollars, 25 dollars, 25 dollars, 25 dollars, 25 dollars, blank total.

What errors did Tara make in her diagram? Check all that apply.
There should be 5 rows labeled 20%.
The 25 should be for each percent, not dollar amounts.
The percents do not add up to a whole of 100%.
There should be 4 columns of 25% that each equal $20.

Answer 1

Let's analyze the errors based on the provided description.

1. There should be 5 rows labeled 20%: This is incorrect because there is no indication that there should be multiple rows for 20%. In fact, there should not be any rows labeled 20% since the diagram is attempting to represent the discount of 25%. This is likely an error.

2. The 25 should be for each percent, not dollar amounts: This is also incorrect in the context provided, where the $20 is correctly representing the discount amount, not something that should be divided among percentages. The focus is on the total discount of 25%, which corresponds to the amount reduced.

3. The percents do not add up to a whole of 100%: This statement is misleading because the key percent in question (the 25% discount) is not adequately represented in the diagram. However, there is no indication that the 20% values correctly represent parts of a whole in relation to a 100% total.

4. There should be 4 columns of 25% that each equal $20: This is incorrect. The statement seems to misunderstand how discounts work. The original price should be calculated based on a total where 25% equals $20, meaning that the original price \( (P) \) would be calculated using \( 0.25P = 20 \), leading to the total being \( P = 80 \).

In summary, Tara's diagram has several errors:

• The 20% labeling is incorrect.
• The dollar amounts are correctly meant to represent the discount rather than percentage values.
• The representation of percentages is misleading.
• The use of columns doesn't adequately illustrate how the discount is supposed to relate to the original price.

Thus, the most applicable errors based on the options provided are:

• There should be 5 rows labeled 20%.
• The 25 should be for each percent, not dollar amounts.
• There should be 4 columns of 25% that each equal $20.

Therefore, the errors are mostly in representation and calculation methods rather than in the understanding of the discount application itself.