Answer :
To analyze how Tristan's increased income affects his financial decisions, let's compare his previous budget when he worked part-time with his current budget after getting a full-time job.
### Previous Budget
- Income: \[tex]$786 - Expenses: - Rent: \$[/tex]300
- Utilities: \[tex]$60 - Groceries: \$[/tex]130
- Savings: \[tex]$120 - Car Expenses: \$[/tex]150
- Entertainment: \[tex]$20 - Others: \$[/tex]6
### Calculation of Previous Expenses
Adding up all the previous expenses:
[tex]\[ 300 + 60 + 130 + 120 + 150 + 20 + 6 = 786 \][/tex]
Thus, his total previous expenses are \[tex]$786. ### Calculation of Previous Net Income Tristan's net income is calculated as: \[ \text{Net Income} = \text{Income} - \text{Expenses} \] For the previous budget: \[ 786 - 786 = 0 \] So, his previous net income was \$[/tex]0.
### Current Budget
- Income: \[tex]$1646 - Expenses: - Rent: \$[/tex]600
- Utilities: \[tex]$120 - Groceries: \$[/tex]200
- Savings: \[tex]$350 - Car Expenses: \$[/tex]150
- Entertainment: \[tex]$120 - Others: \$[/tex]106
### Calculation of Current Expenses
Adding up all the current expenses:
[tex]\[ 600 + 120 + 200 + 350 + 150 + 120 + 106 = 1646 \][/tex]
Thus, his total current expenses are \[tex]$1646. ### Calculation of Current Net Income For the current budget: \[ 1646 - 1646 = 0 \] So, his current net income is \$[/tex]0.
### Increment in Expenses
To determine how much more Tristan is spending now compared to before:
- Groceries:
- Previous: \[tex]$130 - Current: \$[/tex]350
- Increment: [tex]\(350 - 130 = 220\)[/tex]
- Entertainment:
- Previous: \[tex]$6 - Current: \$[/tex]106
- Increment: [tex]\(106 - 6 = 100\)[/tex]
### Conclusion
Tristan's increased income has resulted in a corresponding increase in his expenses, effectively leaving his net income unchanged at zero in both periods. However, his spending on groceries and entertainment has notably increased by \[tex]$220 and \$[/tex]100, respectively. This suggests that Tristan is allowing his higher income to significantly impact his spending habits in these categories.
### Previous Budget
- Income: \[tex]$786 - Expenses: - Rent: \$[/tex]300
- Utilities: \[tex]$60 - Groceries: \$[/tex]130
- Savings: \[tex]$120 - Car Expenses: \$[/tex]150
- Entertainment: \[tex]$20 - Others: \$[/tex]6
### Calculation of Previous Expenses
Adding up all the previous expenses:
[tex]\[ 300 + 60 + 130 + 120 + 150 + 20 + 6 = 786 \][/tex]
Thus, his total previous expenses are \[tex]$786. ### Calculation of Previous Net Income Tristan's net income is calculated as: \[ \text{Net Income} = \text{Income} - \text{Expenses} \] For the previous budget: \[ 786 - 786 = 0 \] So, his previous net income was \$[/tex]0.
### Current Budget
- Income: \[tex]$1646 - Expenses: - Rent: \$[/tex]600
- Utilities: \[tex]$120 - Groceries: \$[/tex]200
- Savings: \[tex]$350 - Car Expenses: \$[/tex]150
- Entertainment: \[tex]$120 - Others: \$[/tex]106
### Calculation of Current Expenses
Adding up all the current expenses:
[tex]\[ 600 + 120 + 200 + 350 + 150 + 120 + 106 = 1646 \][/tex]
Thus, his total current expenses are \[tex]$1646. ### Calculation of Current Net Income For the current budget: \[ 1646 - 1646 = 0 \] So, his current net income is \$[/tex]0.
### Increment in Expenses
To determine how much more Tristan is spending now compared to before:
- Groceries:
- Previous: \[tex]$130 - Current: \$[/tex]350
- Increment: [tex]\(350 - 130 = 220\)[/tex]
- Entertainment:
- Previous: \[tex]$6 - Current: \$[/tex]106
- Increment: [tex]\(106 - 6 = 100\)[/tex]
### Conclusion
Tristan's increased income has resulted in a corresponding increase in his expenses, effectively leaving his net income unchanged at zero in both periods. However, his spending on groceries and entertainment has notably increased by \[tex]$220 and \$[/tex]100, respectively. This suggests that Tristan is allowing his higher income to significantly impact his spending habits in these categories.