Question

After Lynia trades in her car, her annual car insurance premium decreases from $500
to $300.

Part A: Which fraction expression represents the percent decrease in Lynia's car insurance?

Part B: What is the equivalent percent expression to the correct answer for Part A?

Select two answers: one for Part A and one for Part B.

Responses

B: 40%
B: 40 percent

A: 6.610
A: 6 point 6 over 10

A: 410
A: 4 tenths

A: 610
A: 6 tenths

B: 66%
B: 66 percent

A: 1410
A: 1 and 4 tenths

B: 60%
B: 60 percent

B: 4%

Answer 1

To find the percent decrease in Lynia's car insurance, we can use the formula for percent decrease:

\[
\text{Percent Decrease} = \frac{\text{Old Value} - \text{New Value}}{\text{Old Value}} \times 100\%
\]

**Part A: Calculating the fraction expression for percent decrease:**

1. Old Value (original premium) = $500
2. New Value (new premium) = $300

Using the formula:

\[
\text{Percent Decrease} = \frac{500 - 300}{500} \times 100\% = \frac{200}{500} \times 100\% = \frac{2}{5} \times 100\% = 40\%
\]

The fraction expression representing the percent decrease is \( \frac{200}{500} \) or simplified \( \frac{2}{5} \).

So, for **Part A**, the correct answer is:
**A: 410 (since \( \frac{200}{500} \) simplifies to \( \frac{4}{10} \) which could also be represented as \( 410 \))**

**Part B: Equivalent percent expression:**

For the percent decrease calculated:

The percent decrease from $500 to $300 is 40%.

So, for **Part B**, the correct answers are:
**B: 40%** or **B: 40 percent**.

You can select either one.