Let's analyze the options given using the detailed calculations provided.
1. Define Information:
- Job 1 (Seattle, WA):
- Salary: \[tex]$78,000
- Bonuses: \$[/tex]4,000
- Housing and Utility Costs: \[tex]$65,800
- Job 2 (Silicon Valley, CA):
- Salary: \$[/tex]100,000
- Bonuses: \[tex]$2,500
- Housing and Utility Costs: \$[/tex]64,700
2. Calculate Annual Earnings and Deductions:
- Job 1:
- Total compensation (Salary + Bonuses): \[tex]$78,000 + \$[/tex]4,000 = \[tex]$82,000
- Housing and Utility Costs: \$[/tex]65,800
- Remaining income after housing and utilities: \[tex]$78,000 - \$[/tex]65,800 = \[tex]$12,200
- Total annual income after benefits and deductions: \$[/tex]82,000 - \[tex]$65,800 = \$[/tex]16,200
- Job 2:
- Total compensation (Salary + Bonuses): \[tex]$100,000 + \$[/tex]2,500 = \[tex]$102,500
- Housing and Utility Costs: \$[/tex]64,700
- Remaining income after housing and utilities: \[tex]$100,000 - \$[/tex]64,700 = \[tex]$35,300
- Total annual income after benefits and deductions: \$[/tex]102,500 - \[tex]$64,700 = \$[/tex]37,800
3. Results Analysis:
- Job 1:
- Remaining income after housing and utilities: \[tex]$12,200
- Total annual income after benefits and deductions: \$[/tex]16,200
- Job 2:
- Remaining income after housing and utilities: \[tex]$35,300
- Total annual income after benefits and deductions: \$[/tex]37,800
Based on the calculations, Job 1 and Job 2 have the following incomes after housing and utility costs:
- Job 1: \[tex]$16,200
- Job 2: \$[/tex]37,800
Now let's compare these with the options given:
1. "Job 2 is a better choice because it will have a salary and benefits worth \[tex]$20,500 more than job 1."
2. "Job 2 is a better choice because the annual income after housing is expected to be \$[/tex]140,300 but job 1 is expected to be \[tex]$98,200."
3. "Job 1 is a better choice because the annual income after housing is \$[/tex]65,800 but that of job 2 is \[tex]$64,700."
4. "Job 1 is a better choice because annual income after benefits and housing will be \$[/tex]109,800 but the annual income for job 2 will be \[tex]$92,200."
None of the provided options match the calculated results exactly. However, based on the closely analyzed calculation:
- Job 2 should be chosen because of higher total annual income after housing and benefits. The closest correct match to the actual outcome is as follows:
A more accurate (albeit not provided directly among the options) summary would be:
- Job 2 is a better choice because the total annual income after benefits and housing costs will be \$[/tex]37,800, whereas the annual income for Job 1 will be \$16,200.
