Question

question 22 (multiple choice worth 1 points)
(01.03r, linear functions mc)

quincy has a jewelry business in which he designs and sells bracelets. his daily profit, \\(q(x)\\), can be modeled by the function \\(q(x) = 8.25x - 24.75\\), where \\(x\\) is the number of bracelets he sells. what is the value of \\(q(3)\\), and what is its interpretation?

• \\(q(3) = 0\\); if quincy sells 3 bracelets, he will earn \\$0.
• \\(q(3) = 0\\); if quincy sells 0 bracelets, he will earn \\$3.
• \\(q(3) = 3.36\\); if quincy sells 3 bracelets, he will earn \\$3.36.
• \\(q(3) = 3.36\\); if quincy sells 3.36 bracelets, he will earn \\$3.

Explanation:

Evaluate the function at x = 3

$$
LATEXBLOCK0
$$

Interpret the result in context

$$
LATEXBLOCK1
$$

Answer:

• (A) Q(3) = 0; If Quincy sells 3 bracelets, he will earn $0. (Correct answer)
• (B) Q(3) = 0; If Quincy sells 0 bracelets, he will earn $3.
• (C) Q(3) = 3.36; If Quincy sells 3 bracelets, he will earn $3.36.
• (D) Q(3) = 3.36; If Quincy sells 3.36 bracelets, he will earn $3.