Question

The price of an item increased by 25% over the last 5 years. Which values could represent the item’s old and new prices? Select the two correct answers.(1 point)
Responses

Old price: $200  

New price: $270

Old price: $200   New price: $270

Old price: $15  

New price: $18

Old price: $15   New price: $18

Old price: $320  

New price: $400

Old price: $320   New price: $400

Old price: $44 

Answer 1

To determine the correct old and new prices given a 25% increase, we can use the formula:

\[
\text{New Price} = \text{Old Price} \times (1 + \text{Percentage Increase})
\]

In this case, the percentage increase is 25%, or 0.25 as a decimal.

So, the formula becomes:

\[
\text{New Price} = \text{Old Price} \times 1.25
\]

Now we can check each provided pair of prices:

1. **Old price: $200, New price: $270**
- New Price = \(200 \times 1.25 = 250\) (not correct)

2. **Old price: $15, New price: $18**
- New Price = \(15 \times 1.25 = 18.75\) (not correct)

3. **Old price: $320, New price: $400**
- New Price = \(320 \times 1.25 = 400\) (correct)

4. **Old price: $44**
- New Price cannot be determined from just the old price; we need a specific new price to check.

Based on these checks, the correct answer is:

- **Old price: $320, New price: $400**

None of the other pairs properly reflects a 25% increase.