2
QuizMultiple Choice

Finite Geometric Series

Question 2 • TX-Pre-Calculus

A worker has four different job offers, each with a contract for six years. Assuming the job descriptions are identical, which offer will allow the worker to earn the most over six years?

Answer
A
a starting salary of $49,000 with a 3% increase each year
B
a starting salary of $51,000 with a 1% increase each year
C
a starting salary of $48,000 with a 6% increase each year
D
a starting salary of $50,000 with a 2% increase each year

Explanation

Treat the starting salary as the first year's pay, then apply the annual increase for each of the next five years. For choice C, the six salaries are about $48,000, $50,880, $53,933, $57,174, $60,599, and $64,235, totaling about $334,821. That is more than the six-year total for any of the other offers, so the $48,000 starting salary with a 6% annual increase earns the most.

AI-written and checked against the verified answer.

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