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.\nearnings over time for job 1\nearnings over time for job 2\nwhen will janiss salary be the same for job 1 and job 2, and how much will she be earning at that point?
Answer
Explanation:
Step1: Find the equation for Job 2
The earnings for Job 2 form a linear relationship. Using the two - point form $y - y_1=\frac{y_2 - y_1}{x_2 - x_1}(x - x_1)$. Let $(x_1,y_1)=(10,55000)$ and $(x_2,y_2)=(12,60000)$. The slope $m=\frac{60000 - 55000}{12 - 10}=\frac{5000}{2}=2500$. Using the point - slope form with the point $(10,55000)$, we get $y-55000 = 2500(x - 10)$, which simplifies to $y=2500x+30000$.
Step2: Set the two equations equal
The equation for Job 1 is $y = 2000x+40000$. Set it equal to the equation for Job 2: $2000x+40000=2500x+30000$.
Step3: Solve for x
Subtract $2000x$ from both sides: $40000 = 500x+30000$. Then subtract 30000 from both sides: $10000 = 500x$. Divide both sides by 500, so $x = 20$.
Step4: Find the y - value
Substitute $x = 20$ into the equation for Job 1 (we could also use the equation for Job 2). $y=2000\times20 + 40000=40000+40000=80000$.
Answer:
The salary will be the same in 20 years, and she will be earning 80000 dollars.