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A worker has job offers from two companies. The information below summarizes the job offer from each company.

Company A:

Starting salary of $31,000
Raise of $3000 each year

Company B:

Starting salary of $38,000
Raise of $2000 each year


Part A: Write an equation in terms of n years that can be used to determine the number of years when the salaries would be the same for both companies.

Part B: Use the equation you wrote in part A to determine the number of years it would take for the salaries to be the same for both companies. Use mathematics to support your answer.

Respuesta :

Answer:

Part A: 31000 + 3000x = 38000 + 2000x; Part B: 7 years.

Step-by-step explanation:

x = number of years since start

For Company A, we have that salaryA(x) = 31000+3000x,

For Company Part B: salaryB(x) = 38000+2000x

We want x such that salaryA(x) = salaryB(x).

Thus,

31000 + 3000x = 38000 + 2000x (Answer to part A)

Subtracting 31000 from both sides of the equation implies that:

3000x = 7000 + 2000x.

Subtracting 2000x from both sides implies that:

1000x = 7000.

Then, dividing both sides of the equation by 1000 yields:

x = 7 years (Answer to part B)

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