janis was offered two different jobs when she graduated from college. she made the graph and table to show…

janis was offered two different jobs when she graduated from college. she made the graph and table to show how much she would earn over time at each job. earnings over time for job 1 earnings over time for job 2 when will janiss salary be the same for job 1 and job 2, and how much will she be earning at that point?

janis was offered two different jobs when she graduated from college. she made the graph and table to show how much she would earn over time at each job. earnings over time for job 1 earnings over time for job 2 when will janiss salary be the same for job 1 and job 2, and how much will she be earning at that point?

Answer

Answer:

Let's first find the equation for Job 2. The data for Job 2 is linear. The slope (m=\frac{60000 - 55000}{12 - 10}=\frac{5000}{2}=2500). Using the point - slope form (y - y_1=m(x - x_1)) with the point ((10,55000)), we have (y-55000 = 2500(x - 10)), which simplifies to (y=2500x+30000).

For Job 1, the equation is (y = 2000x+40000).

Set the two equations equal to each other: [ \begin{align*} 2500x+30000&=2000x + 40000\ 2500x-2000x&=40000 - 30000\ 500x&=10000\ x&=20 \end{align*} ]

Substitute (x = 20) into the equation for Job 1 (or Job 2): (y=2000\times20 + 40000=80000)

So, in 20 years, her salary will be the same, and she will be earning $80000.