To determine which equation represents Alexandria's variable expenses for last month, we need to follow these steps:
1. Identify her fixed expenses:
- Fixed expenses = \[tex]$1,832.76
2. Identify her total expenses:
- Total expenses = \$[/tex]4,295.82
3. To find the variable expenses, we subtract the fixed expenses from the total expenses. This can be represented by the equation:
[tex]\[
v = \text{Total Expenses} - \text{Fixed Expenses}
\][/tex]
Substituting the given amounts into the equation:
[tex]\[
v = 4,295.82 - 1,832.76
\][/tex]
Now, we compare this with the given options:
A. [tex]\( v = \$4,295.82 - \$1,832.76 \)[/tex]
B. [tex]\( v = \$1,832.76 - \$4,295.82 \)[/tex]
C. [tex]\( v = \$1,832.76 + \$4,295.82 \)[/tex]
D. [tex]\( v = \$2,463.06 + \$1,832.76 \)[/tex]
E. [tex]\( v = \$4,295.82 - \$2,463.06 \)[/tex]
Option A directly matches our derived equation and accurately represents the calculation of variable expenses by subtracting fixed expenses from total expenses:
[tex]\[
v = 4,295.82 - 1,832.76
\][/tex]
Therefore, the correct answer is:
[tex]\[
\boxed{A.\quad v=\$ 4,295.82-\$ 1,832.76}
\][/tex]
