Question

Brenda has a job offers at two companies. One company offers a starting salary of $75,000 with a raise of $2,500 each year. The company offers a starting salary of $55,000 with a raise of $5,000 each year. In how many years would Brenda’s salary be the same with both companies ?

Answer 1

For this case, the first thing we must do is define variables.

We have then:

x: number of years

y: total salary

For company 1 we have:

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For company 2 we have:

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By the time both salaries are equal we have:

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From here, we clear the value of x.

We have then:

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Answer:

Brenda's salary would be the same with both companies in 8 years.