Final answer:
To compare the two job offers and find the point at which they become equal, we can write and solve an equation using y as the variable. After simplifying the equation, we can solve for y to find the point at which the salaries are equal.
Step-by-step explanation:
To make a decision between the two job offers, we can write and solve an equation using y as the variable.
Let's define y as the number of years you work.
For the first job offer, the salary can be represented as: $55,000 + $2,500 * y
For the second job offer, the salary can be represented as: $62,000 + $2,000 * y
To compare the two job offers and find the point at which they become equal, we set the two equations equal to each other: $55,000 + $2,500 * y = $62,000 + $2,000 * y
After simplifying the equation, we can solve for y to find the point at which the salaries are equal.