Question

Car dealership decreased the price of a certain car by 11%. The original price was $33,800.

Answer 1

Given the question in the image, the following are the solution steps to answer the questions.

Step 1: Write the original price

`\text{Original Price=33800}`

Step 2: Write the function for the decrease percentage

11% percentage of decrease implies that the original price was reduced by 11% of the original price, this gives us

`\begin{gathered} 33800-(\frac{11}{100\text{ }}\text{ of }33800)\text{ as the new price} \\ By\text{ factorisation,} \\ \Rightarrow33800(1-(11)/(100)) \\ \Rightarrow33800(1-0.11) \\ \Rightarrow33800(0.89) \\ \Rightarrow0.89*33800 \end{gathered}`

Hence, the new price for the car becomes:

`0.89*\text{original price}`

Question b: Using the answer in a to get the new price, we have

`0.89*33800=\text{\$}30082`