Linear functions SAT question

Math · Algebra · Hard · Answer it here, explanation included.

For groups of $25$ or more people, a museum charges $$21$ per person for the first $25$ people and $$14$ for each additional person. Which function $f$ gives the total charge, in dollars, for a tour group with $n$ people, where $n \geq 25$ ?

ExplanationShow

Choice A is correct. A tour group with $n$ people, where $n \geq 25$ , can be split into two subgroups: the first $25$ people and the additional $n - 25$ people. Since the museum charges $$21$ per person for the first $25$ people and $$14$ for each additional person, the charge for the first $25$ people is $$21 (25)$ and the charge for the additional $n - 25$ people is $$14 (n - 25)$ . Therefore, the total charge, in dollars, is given by the function $f (n) = 21 (25) + 14 (n - 25)$ , or $f (n) = 14 n + 175$ .

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.

Drill this skill on Aceit

Adaptive practice, a daily plan, and score tracking take a free account so we can save your work.

Practice this skill

Linear functions SAT question

More Linear functions questions