Question

A car dealership decreased the price of a certain car by 4%. The original price was
$45,400.
(a) Fill in the blank to write the new price in terms of the original price.
New Price = ? x Original price.

(b) Use your answer in part (a) to determine the new price.
New price $?

Answer 1

Answer:

(a) $\text{New Price}=0.96\times \text{Original Price}$

(b) The new price of car is $43584.

Step-by-step explanation:'

(a)

The original price of car is $45400.

It is given that the car dealership decreased the price of a certain car by 4%.

$\text{New Price}=\text{Original Price}-\frac{4}{100}\times \text{Original Price}$

$\text{New Price}=(1-\frac{4}{100})\times \text{Original Price}$

$\text{New Price}=\frac{96}{100}\times \text{Original Price}$\

$\text{New Price}=0.96\times \text{Original Price}$

(b)

Using part (a), we get

$\text{New Price}=0.96\times \text{45400}$

$\text{New Price}=43584$

Therefore the new price of car is $43584.

Answer 2

The formula for the new price is New Price = 0.96 x 45400, while the value of the new price of the car is $43,584

The formula for the new price

From the question, we have:

Original price = $45,400

Rate decreased = 4%

The new price would be calculated using:

New Price = (1 - Rate) x Original price.

So, we have:

New Price = (1 - 4%) x Original price

Express the percentage as decimal

New Price = (1 - 0.04) x Original price.

So, we have:

New Price = 0.96 x 45400

The new price

In (a), we have:

New Price = 0.96 x 45400

Evaluate

New Price = 43584

Hence, the new price of the car is $43,584

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