Question

Dianelys was offered a job after college earning a salary of $60,000. She will get a raise of $2,000 after each year working for the company. Answer the questions below regarding the relationship between salary and the number of years working at the company.

Answer 1

It would take 6 years for her salary to reach $70,000.

Explanation:

What is Dianelys's starting salary?

Dianelys's starting salary is $60,000.

What is the annual raise she will receive?

Dianelys will receive an annual raise of $2,000.

How can you express Dianelys's salary for year "n" in terms of her starting salary?

Dianelys's salary for year "n" can be expressed as:

Salary for year "n" = Starting Salary + (Annual Raise * (n - 1))

Salary for year "n" = $60,000 + ($2,000 * (n - 1))

How can you express Dianelys's salary for a specific year, say year 5?

To find her salary for a specific year, you can substitute "n" with the desired year. For year 5, it would be:

Salary for year 5 = $60,000 + ($2,000 * (5 - 1))

Salary for year 5 = $60,000 + ($2,000 * 4)

Salary for year 5 = $60,000 + $8,000

Salary for year 5 = $68,000

How would you find the number of years it takes for her salary to reach a certain amount, say $70,000?

To find the number of years it takes for her salary to reach a certain amount, you can set up an equation and solve for "n":

$60,000 + ($2,000 * (n - 1)) = $70,000

$2,000 * (n - 1) = $70,000 - $60,000

$2,000 * (n - 1) = $10,000

n - 1 = $10,000 / $2,000

n - 1 = 5

n = 6

So, it would take 6 years for her salary to reach $70,000.