Question

Samantha plans to keep her contest prize money in a college fund for 8 years. The equation f(x) represents the total dollars in her college fund after x years. What is the correct domain for this function?

a) x ≤ 8
b) x ≥ 8
c) 0 ≤ x ≤ 8
d) x > 0

Answer 1

The correct domain for the function representing Samantha's college fund over 8 years is 0 ≤ x ≤ 8.

Step-by-step explanation:

The correct domain for the function f(x) representing the total dollars in Samantha's college fund after x years is the set of all years from when the money is first deposited up to, and including, the 8th year.

Since she plans to keep the money in the fund for 8 years, the domain would be from the time x equals 0 (the start) up to and including x equals 8 (the end of the 8-year period). Therefore, the correct domain is represented by the inequality 0 ≤ x ≤ 8, which means that x can take on any value between 0 and 8, inclusive.