Scherita is considering two job offers. The first job offers a salary of $27,000 each year, with an annual raise of 8%. The second job offers a better salary, $45,500 each year, with a fixed annual raise is only $500.

Question

If Scherita takes the first job, write an equation relating her salary, y, to the number of years she has been at the at the job.
y = 27000 (1+0.08)*
may
If Scherita takes the second job, write an equation relating her salary, y, to the number of years she has been at the at the job.
y = 45500+500x
Part 2 of 3
Using your calculator, solve the system of equations you created above. Round your answers to two decimal places, if necessary.
y=

Answer 1

For the first job offer:
y = 27000(1+0.08)^x

For the second job offer:
y = 45500 + 500x

To find the intersection point, set the two equations equal to each other:
27000(1+0.08)^x = 45500 + 500x

Now, use a graphing calculator or a computer software to solve for x. The solution will give you the number of years at which the two job offers will have the same salary.