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

solve the following word problem. then look at the work. try to determine where the mistake was made.\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%\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.\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%\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 the amount of decrease

The original price is $2560$ and the new price is $2048$. The amount of decrease is $2560 - 2048=512$.

Step2: Calculate the percent - decrease formula

The formula for percent - decrease is $\text{Percent Decrease}=\frac{\text{Amount of Decrease}}{\text{Original Amount}}\times100%$. Substitute the values: $\frac{512}{2560}\times 100%$.

Step3: Simplify the fraction

$\frac{512}{2560}=\frac{1}{5}$, and $\frac{1}{5}\times100% = 20%$.

Step4: Analyze the error

The given answer of $25%$ is incorrect. The correct percent - decrease is $20%$. To get $25%$, one might have incorrectly calculated $\frac{2560 - 2048}{2048}\times100%$ (using the new price as the denominator instead of the original price), which is an incorrect operation.

Answer:

A. The incorrect operation is performed.