A town's population rose
`40%` from 2006 to 2007.
The 2007 population was 10,080.
`{:("Quantity A","Quantity B"),("The 2006 population","7,000"):}`

Options

A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the infromation given.

Answer

To solve the problem, we need to determine the population of the town in 2006 based on the information given about the population increase to 2007.

### Step-by-Step Solution:

1. **Understand the Problem**:
The population of the town increased by 40% from 2006 to 2007, and the population in 2007 is given as 10,080.

2. **Set Up the Equation**:
Let the population in 2006 be represented by \( x \). Since the population increased by 40%, the population in 2007 can be expressed as:
\[ \text{Population in 2007} = x + 0.4x = 1.4x \]
We know that this equals 10,080:
\[ 1.4x = 10,080 \]

3. **Solve for \( x \)**:
To find \( x \), we can rearrange the equation:
\[ x = \frac{10,080}{1.4} \]

4. **Calculate \( x \)**:
Performing the division:
\[ x = \frac{10,080}{1.4} = 7,200 \]
Thus, the population in 2006 was 7,200.

5. **Compare Quantities**:
Now we need to compare Quantity A (the 2006 population) with Quantity B (7,000):
- Quantity A = 7,200
- Quantity B = 7,000

6. **Determine the Relationship**:
Since 7,200 is greater than 7,000, we conclude:
\[ \text{Quantity A} > \text{Quantity B} \]

### Final Answer:
The 2006 population (Quantity A) is greater than 7,000 (Quantity B).