Answer :
To analyze Vanya's personal budget and determine the correctness of the statement regarding her financial status, let’s go through the expenses and income step-by-step:
### Step 1: List Fixed Expenses
1. Rent: [tex]$1279 2. Car: $[/tex]300
### Step 2: List Variable Expenses
1. Utilities: [tex]$310 2. Food: $[/tex]220
3. Other: [tex]$522 4. Savings: $[/tex]200
### Step 3: Calculate Total Monthly Expenses
To find the total of Vanya's monthly expenses, we sum up both her fixed and variable expenditures:
[tex]\[ \text{Total Expenses} = \text{Rent} + \text{Car} + \text{Utilities} + \text{Food} + \text{Other} + \text{Savings} \][/tex]
Substitute the values:
[tex]\[ \text{Total Expenses} = 1279 + 300 + 310 + 220 + 522 + 200 = 2831 \][/tex]
### Step 4: Calculate Amount Left After Expenses
Vanya's income is [tex]$2795. To find the amount left after covering all her expenses, we subtract her total expenses from her income: \[ \text{Amount Left} = \text{Income} - \text{Total Expenses} \] Substitute the values: \[ \text{Amount Left} = 2795 - 2831 = -36 \] ### Step 5: Conclusion We conclude that Vanya’s total expenses exceed her income by $[/tex]36. Thus, instead of having money left after covering all her expenses, Vanya is actually short of [tex]$36 each month. Correct Statement: Vanya's monthly expenses exceed her income by $[/tex]36.
### Step 1: List Fixed Expenses
1. Rent: [tex]$1279 2. Car: $[/tex]300
### Step 2: List Variable Expenses
1. Utilities: [tex]$310 2. Food: $[/tex]220
3. Other: [tex]$522 4. Savings: $[/tex]200
### Step 3: Calculate Total Monthly Expenses
To find the total of Vanya's monthly expenses, we sum up both her fixed and variable expenditures:
[tex]\[ \text{Total Expenses} = \text{Rent} + \text{Car} + \text{Utilities} + \text{Food} + \text{Other} + \text{Savings} \][/tex]
Substitute the values:
[tex]\[ \text{Total Expenses} = 1279 + 300 + 310 + 220 + 522 + 200 = 2831 \][/tex]
### Step 4: Calculate Amount Left After Expenses
Vanya's income is [tex]$2795. To find the amount left after covering all her expenses, we subtract her total expenses from her income: \[ \text{Amount Left} = \text{Income} - \text{Total Expenses} \] Substitute the values: \[ \text{Amount Left} = 2795 - 2831 = -36 \] ### Step 5: Conclusion We conclude that Vanya’s total expenses exceed her income by $[/tex]36. Thus, instead of having money left after covering all her expenses, Vanya is actually short of [tex]$36 each month. Correct Statement: Vanya's monthly expenses exceed her income by $[/tex]36.