solve the following word problem. then look at the work. try to determine where the mistake was…

solve the following word problem. then look at the work. try to determine where the mistake was made.\n\nafter the start of a new year, a $2,560 television set was marked down to $2,048. what was the percent decrease in the price? given answer: 25%\n\nwhat error is present in this calculation?\na) the incorrect operation is performed.\nb) operations are performed in an incorrect order.\nc) the work is incomplete and missing a step.\nd) a percentage is converted incorrectly.

solve the following word problem. then look at the work. try to determine where the mistake was made.\n\nafter the start of a new year, a $2,560 television set was marked down to $2,048. what was the percent decrease in the price? given answer: 25%\n\nwhat error is present in this calculation?\na) the incorrect operation is performed.\nb) operations are performed in an incorrect order.\nc) the work is incomplete and missing a step.\nd) a percentage is converted incorrectly.

Answer

Explanation:

Step1: Calculate price decrease

$$2560 - $2048 = $512$

Step2: Find percent decrease

$\text{Percent Decrease} = \frac{\text{Decrease}}{\text{Original Price}} \times 100% = \frac{512}{2560} \times 100% = 20%$

Step3: Identify error source

The incorrect 25% likely comes from using the new price instead of original: $\frac{512}{2048} \times 100% = 25%$, which reverses the order of using original vs new price in the calculation.

Answer:

B) Operations are performed in an incorrect order.