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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)=15000+3000x, where x 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.

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Answer:

This equation shows you how financial aid increases $3000 for every additional sibling, starting at $15,000.

Step-by-step explanation:

This equation means that for every sibling there is an additional $3000 in financial aid. When there are no siblings there is an automatic $15000 in financial aid.

Since you can't have "negative number" of siblings, the domain must begin with 0. You can have a lot of siblings, so let's put the end of domain as infinity.

Domain = [0, โˆž)

If you substitute in this domain into the equation, the range will be the output. The least will be $15,000 and the most will be infinity as well.

Range = [15000, โˆž)

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