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.



Answer :

To determine the changes in the assets and liabilities of the Chang family from 2007 to 2008, let's calculate the total assets and total liabilities for both years and compare them.

First, let's calculate the total assets and liabilities for 2007:

Assets in 2007:
- Home value: \[tex]$315,000 - Car value: \$[/tex]10,000
- Savings: \[tex]$2,000 Total assets for 2007: \[ 315,000 + 10,000 + 2,000 = 327,000 \] Liabilities in 2007: - Mortgage: \$[/tex]265,000
- Car loan: \[tex]$5,000 Total liabilities for 2007: \[ 265,000 + 5,000 = 270,000 \] Next, let's calculate the total assets and liabilities for 2008: Assets in 2008: - Home value: \$[/tex]325,000
- Car value: \[tex]$6,000 Total assets for 2008: \[ 325,000 + 6,000 = 331,000 \] Liabilities in 2008: - Mortgage: \$[/tex]240,000
- Car loan: \[tex]$1,000 - Credit card debt: \$[/tex]1,500

Total liabilities for 2008:
[tex]\[ 240,000 + 1,000 + 1,500 = 242,500 \][/tex]

Now, let's compare the totals from both years:

Assets:
- 2007: \[tex]$327,000 - 2008: \$[/tex]331,000

There was an increase in assets from 2007 to 2008, as [tex]\(331,000 > 327,000\)[/tex].

Liabilities:
- 2007: \[tex]$270,000 - 2008: \$[/tex]242,500

There was a decrease in liabilities from 2007 to 2008, as [tex]\(242,500 < 270,000\)[/tex].

Therefore, the correct option is:

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