Question

A college has a financial aid formula that applies to applicants whose family's income is below a certain threshold. The financial aid can be determined by the function f(x)=25000+3000x,f(x)=25000+3000x, where xx is the number of siblings (including half siblings and step siblings) that the applicant has living in their household. Find and interpret the given function values and determine an appropriate domain for the function.

Answer 1

Answer:

The domain of the function is represent by all values of $x$ equal or greater than zero.

The given function is based on the assumption that the greater the family, the lesser the income mostly because the number of siblings, and therefore, the higher the financial aid.

Step-by-step explanation:

Let $f(x) = 25000+3000\cdot x$, where $x$ is the number of siblings of the student, dimensionless, and $f(x)$ is the financial aid for the student, measured in US dollars.

$x$ represents the domain of the function, whose set is formed by non-negative entire numbers:

$x \in \mathbb{N}_{O} = \mathbb{N}\cup \{0\}$

In other words, the domain of the function is represent by all values of $x$ equal or greater than zero.

$x \geq 0$

Besides, the given function is based on the assumption that the greater the family, the lesser the income mostly because the number of siblings, and therefore, the higher the financial aid.