The following table shows the assets and liabilities of the Chang family in 2007 and 2008.
\begin{tabular}{|l|l|}
\hline 2007 & 2008 \\
\hline home valued at [tex]$\$[/tex] 315,000[tex]$ & home valued at $[/tex]\[tex]$ 325,000$[/tex] \\
\hline mortgage of [tex]$\$[/tex] 265,000[tex]$ & mortgage of $[/tex]\[tex]$ 240,000$[/tex] \\
\hline car valued at [tex]$\$[/tex] 10,000[tex]$ & car valued at $[/tex]\[tex]$ 6,000$[/tex] \\
\hline car loan of [tex]$\$[/tex] 5,000[tex]$ & car loan of $[/tex]\[tex]$ 1,000$[/tex] \\
\hline savings of [tex]$\$[/tex] 2,000[tex]$ & credit card debt of $[/tex]\[tex]$ 1,500$[/tex] \\
\hline
\end{tabular}

Based on the table, which of the following is true?

A. From 2007 to 2008, both assets and liabilities decreased.
B. From 2007 to 2008, both assets and liabilities increased.
C. From 2007 to 2008, assets decreased and liabilities increased.
D. From 2007 to 2008, assets increased and liabilities decreased.

Please select the best answer from the choices provided.



Answer :

Let's go through the given data step-by-step to determine the correct statement about the assets and liabilities of the Chang family from 2007 to 2008.

### 1. Calculating Assets:

For 2007:
- Home Value: \$315,000
- Car Value: \$10,000
- Savings: \$2,000

Total Assets in 2007 = Home Value + Car Value + Savings
[tex]\[ \text{Total Assets in 2007} = \[tex]$315,000 + \$[/tex]10,000 + \[tex]$2,000 = \$[/tex]327,000 \][/tex]

For 2008:
- Home Value: \$325,000
- Car Value: \$6,000

Total Assets in 2008 = Home Value + Car Value
[tex]\[ \text{Total Assets in 2008} = \[tex]$325,000 + \$[/tex]6,000 = \$331,000 \][/tex]

### 2. Calculating Liabilities:

For 2007:
- Mortgage: \$265,000
- Car Loan: \$5,000

Total Liabilities in 2007 = Mortgage + Car Loan
[tex]\[ \text{Total Liabilities in 2007} = \[tex]$265,000 + \$[/tex]5,000 = \$270,000 \][/tex]

For 2008:
- Mortgage: \$240,000
- Car Loan: \$1,000
- Credit Card Debt: \$1,500

Total Liabilities in 2008 = Mortgage + Car Loan + Credit Card Debt
[tex]\[ \text{Total Liabilities in 2008} = \[tex]$240,000 + \$[/tex]1,000 + \[tex]$1,500 = \$[/tex]242,500 \][/tex]

### 3. Comparing the Years:

#### Assets:
- Total Assets in 2007: \$327,000
- Total Assets in 2008: \$331,000

Since \[tex]$331,000 (2008) > \$[/tex]327,000 (2007), assets increased from 2007 to 2008.

#### Liabilities:
- Total Liabilities in 2007: \$270,000
- Total Liabilities in 2008: \$242,500

Since \[tex]$242,500 (2008) < \$[/tex]270,000 (2007), liabilities decreased from 2007 to 2008.

### Conclusion:
From 2007 to 2008, the Chang family's assets increased and their liabilities decreased. Therefore, the most accurate statement based on this information is:

d. From 2007 to 2008, assets increased and liabilities decreased.