Answer:
Job A is more profitable for nearly 49 months (or 50 months including the first month)
Job B is more profitable after 49 months (or 50 months including the first month).
Step-by-step explanation:
Let x be the number of months passed after first month
Job A:
$2,000 for the first month with a $300 raise every month thereafter
Function describing this situation:
[tex]f(x)=2,000+300x[/tex]
Job B:
$1,500 for the first month with a 5% raise every month thereafter
Function describing this situation:
[tex]g(x)=1,500\cdot (1+0.05)^x\\ \\g(x)=1,500\cdot 1.05^x[/tex]
Plot both graphs (see attached diagram). The diagram shows that the job A is more profitable for nearly 49 months (or 50 months including the first month) and the job B is more profitable after 49 months (or 50 months including the first month).
