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 :

To answer the question, we need to compare the assets and liabilities of the Chang family from 2007 to 2008.

Assets in 2007:
1. Home: [tex]$315,000 2. Car: $[/tex]10,000
3. Savings: [tex]$2,000 Total assets for 2007: \[ \text{Assets}_{2007} = \$[/tex]315,000 + \[tex]$10,000 + \$[/tex]2,000 = \[tex]$327,000 \] Liabilities in 2007: 1. Mortgage: $[/tex]265,000
2. Car Loan: [tex]$5,000 Total liabilities for 2007: \[ \text{Liabilities}_{2007} = \$[/tex]265,000 + \[tex]$5,000 = \$[/tex]270,000 \]

Assets in 2008:
1. Home: [tex]$325,000 2. Car: $[/tex]6,000
3. Credit Card Debt (which should be subtracted from the assets because it's a debt): -[tex]$1,500 Total assets for 2008: \[ \text{Assets}_{2008} = \$[/tex]325,000 + \[tex]$6,000 - \$[/tex]1,500 = \[tex]$329,500 \] Liabilities in 2008: 1. Mortgage: $[/tex]240,000
2. Car Loan: [tex]$1,000 Total liabilities for 2008: \[ \text{Liabilities}_{2008} = \$[/tex]240,000 + \[tex]$1,000 = \$[/tex]241,000 \]

Now, let's compare the total assets and liabilities between the two years:

Assets Comparison:
[tex]\[ \text{Assets}_{2008} = \$329,500 \][/tex]
[tex]\[ \text{Assets}_{2007} = \$327,000 \][/tex]
[tex]\[ \text{Assets}_{2008} > \text{Assets}_{2007} \][/tex]

Liabilities Comparison:
[tex]\[ \text{Liabilities}_{2008} = \$241,000 \][/tex]
[tex]\[ \text{Liabilities}_{2007} = \$270,000 \][/tex]
[tex]\[ \text{Liabilities}_{2008} < \text{Liabilities}_{2007} \][/tex]

From these comparisons, we can determine:
- Assets increased from 2007 to 2008.
- Liabilities decreased from 2007 to 2008.

Therefore, the correct answer is:
d. From 2007 to 2008, assets increased and liabilities decreased.