given the piecewise function for a parking garage, what would a customer pay to park their car for 2 hours?

\\f(x) = \
$\begin{cases} 5 & 0 < x \\le 2 \\\\ 5 + 2(x - 2) & x > 2 \\end{cases}$
\\

\\$6

\\$8

\\$7

\\$5

Question

given the piecewise function for a parking garage, what would a customer pay to park their car for 2 hours?

\f(x) = \begin{cases} 5 & 0 < x \le 2 \\ 5 + 2(x - 2) & x > 2 \end{cases}\

- \$6
- \$8
- \$7
- \$5

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Piecewise Functions" ], "new_concepts": [], "current_concepts": [ "Piecewise Functions" ] } ## Identify the relevant interval Using the *Piecewise Functions* knowledge point $$ \begin{aligned} &\text{We need to evaluate } F(x) \text{ at } x = 2.\ &\text{The domain intervals are } 0 < x \le 2 \text{ and } x > 2.\ &\text{Since } 2 \text{ satisfies } 0 < x \le 2, \text{ we use the first piece.} \end{aligned} $$ ## Evaluate the function Using the *Piecewise Functions* knowledge point $$ \begin{aligned} &F(2) = 5 \end{aligned} $$

(A) $6

(B) $8

(C) $7

(D) $5

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Piecewise Functions" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the relevant interval

Evaluate the function

Answer: