To determine which job offer is better based on annual income after housing and utility costs, let's consider the detailed calculations.
### Job 1: Seattle, WA
- Annual Salary: [tex]$78,000
- Annual Bonus: $[/tex]4,000
- Monthly Rent and Utilities: [tex]$1,350
First, calculate the annual cost of rent and utilities:
\[ \text{Annual Rent and Utilities for Job 1} = 1,350 \times 12 = 16,200 \]
Now, calculate the annual income after housing and utilities:
\[ \text{Annual Income after Housing for Job 1} = 78,000 + 4,000 - 16,200 = 65,800 \]
### Job 2: Silicon Valley, CA
- Annual Salary: $[/tex]100,000
- Annual Bonus: [tex]$2,500
- Monthly Rent and Utilities: $[/tex]3,150
First, calculate the annual cost of rent and utilities:
[tex]\[ \text{Annual Rent and Utilities for Job 2} = 3,150 \times 12 = 37,800 \][/tex]
Now, calculate the annual income after housing and utilities:
[tex]\[ \text{Annual Income after Housing for Job 2} = 100,000 + 2,500 - 37,800 = 64,700 \][/tex]
### Comparison
Comparing the two results:
- Job 1: [tex]$65,800
- Job 2: $[/tex]64,700
From this comparison, we can see that Job 1 is the better choice because the annual income after housing costs is [tex]$65,800, which is greater than Job 2's $[/tex]64,700.
Therefore, the correct answer is:
"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."
