Question

Westin Trading normally nets $6 million per month. The table shows the variance from the average for five months.

Sales Above/Below Average (Millions)
April
May
June
July
Aug.
–2.5
Negative 2 and one-half
3.1
–1.6
2 and two-thirds

Which comparison is true? Use the number line to help.

A number line going from negative 6 to positive 6 in increments of 1.

June < August
April = May
May > July
May = August

Answer 1

To determine the correct comparison, let's first convert the variances from the average sales into decimal form for easier comparison.

Here are the sales variances for each month from the average of $6 million:

- **April:** -2.5 million
- **May:** 3.1 million
- **June:** -1.6 million
- **July:** Approximately 2.67 million (since 2 and two-thirds = 2.6667)
- **August:** Approximately 2.67 million (since 2 and two-thirds = 2.6667)

Now we can compare the sales variances:

1. **June < August:**
- June: -1.6 million
- August: Approximately 2.67 million
This statement is **True** (-1.6 is less than 2.67).

2. **April = May:**
- April: -2.5 million
- May: 3.1 million
This statement is **False**.

3. **May > July:**
- May: 3.1 million
- July: Approximately 2.67 million
This statement is **True** (3.1 is greater than 2.67).

4. **May = August:**
- May: 3.1 million
- August: Approximately 2.67 million
This statement is **False**.

Based on these comparisons, the true statements are:
- **June < August**
- **May > July**

Thus, the true comparison from the options given is:
**June < August** and **May > July**.