given the piecewise function below of hotel rates per night, how much would it cost to stay 5 nights in the hotel?

\f(x) = \begin{cases} 100x & 0

Question

given the piecewise function below of hotel rates per night, how much would it cost to stay 5 nights in the hotel?

\f(x) = \begin{cases} 100x & 0 < x \le 3 \\ 90x & 4 \le x \le 7 \\ 80x & x \ge 8 \end{cases}\

-   \$500
-   \$80
-   \$100
-   \$450

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 $$ \begin{aligned} &x = 5\ &4 \le 5 \le 7 \end{aligned} $$ ## Evaluate the function Using the *Piecewise Functions* knowledge point $$ \begin{aligned} &F(x) = 90x\ &F(5) = 90 \times 5 = 450 \end{aligned} $$

(A) $500

(B) $80

(C) $100

(D) $450

{ "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: