Question

A car dealership decreased the price of a certain car by 5%. The original price was $33,800. (a) Fill in the blank to write the new price in terms of the original price. Write your answer as a decimal. New price = ____ × Original price (b) Use your answer in part (a) to determine the new price. New price: $___

Answer 1

a)

`New\text{ Pr}\imaginaryI\text{ce}=0.95*Or\imaginaryI g\imaginaryI nal\text{ Pr}\imaginaryI\text{ce}`

b) New Price: $32,110

Step-by-step explanation:

a) If the price of the car is decreased by 5% and the original price is given as $33,800, we can go ahead and write the new price in terms of the original price as seen below;

`\begin{gathered} New\text{ Price}=(1-(5)/(100))*Original\text{ price} \\ New\text{ Price}=(1-0.05)*0riginal\text{ Price} \\ New\text{ Price}=0.95*Original\text{ Price} \end{gathered}`

b) We can go ahead and determine the new price as seen below;

`\begin{gathered} New\text{ Price}=0.95*33800 \\ New\text{ Price}=32,110 \end{gathered}`

So the new price of the car is $32,110