Question

#43 please help have mid terms Tomorrow

Answer 1

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).

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:

`f(x)=2,000+300x`

Job B:

$1,500 for the first month with a 5% raise every month thereafter

Function describing this situation:

`g(x)=1,500\cdot (1+0.05)^x\\ \\g(x)=1,500\cdot 1.05^x`

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).