A car dealership increased the price of a certain car by 3%. The original price was $37,400.
(a)	Fill in the blank to write the new price in terms of the original price.
Write your answer as a decimal.
New=price×Originalprice
(b)	Use your answer in part (a) to determine the new price.
Newprice:$

Let's tackle this problem step by step:

### Part (a):
We are given that the price of a car was increased by 3%. To express the new price in terms of the original price, we need to account for the 3% increase.

The new price is:
\[
\text{New price} = (1 + 0.03) \times \text{Original price}
\]
The 1 represents 100% of the original price, and the 0.03 represents the 3% increase.

So, the new price is:
\[
\text{New price} = 1.03 \times \text{Original price}
\]

### Part (b):
Now, using this formula, we can calculate the new price. The original price of the car is $37,400.

\[
\text{New price} = 1.03 \times 37,400
\]

Let me calculate that for you.

\[
\text{New price} = 1.03 \times 37,400 = 38,522
\]

### Final Answer:
- (a) The new price formula: $\text{New price} = 1.03 \times \text{Original price}$
- (b) The new price of the car: **$38,522**

Would you like further details or have any questions? Here are five related questions to deepen your understanding:

1. If the price increase had been 5% instead of 3%, what would the new price be?
2. How would you calculate the percentage increase if you only knew the original and new prices?
3. If the price is then decreased by 10%, what would the new price be?
4. What is the formula for finding the final price after a percentage decrease?
5. How would a repeated increase of 3% over 3 years affect the price?

**Tip**: Always express percentage changes as decimals when performing calculations (e.g., 3% = 0.03).

A car dealership increased the price of a certain car by 3%. The original price was $37,400. (a) Fill in the blank to write the new price in terms of the original price. Write your answer as a decimal. New=price×Originalprice (b) Use your answer in part (a) to determine the new price. New price:$

Learn how to calculate a 3% price increase on a car originally priced at $37,400. This example explores percentage increases and basic algebra to find the new car price. Perfect for students in Grades 6-8.

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