Question

question 5 (5 points)
at a certain car rental company, it costs $39.95 per day and $0.06 cents per mile to rent a car. how much would it cost to rent a car for 2 days and drive 150 miles?

a) $48.95
b) $80.02
c) $88.90
d) $40.01

Explanation:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"multiple_choice_formatter",
"explain_then_answer",
"tutor",
"mastery_adaptive_brevity"
],
"needs_drawing": false,
"concepts_used": [
"Linear Modeling",
"Algebraic Expression Evaluation"
],
"new_concepts": [
"Cost Function Application"
],
"current_concepts": [
"Linear Modeling",
"Algebraic Expression Evaluation",
"Cost Function Application"
]
}
</pre_analysis>

<reasoning>

Formulate the cost equation

Using the Linear Modeling knowledge point
\[
C = 39.95d + 0.06m
\]

Evaluate the expression

Using the Algebraic Expression Evaluation knowledge point
\[

$$\begin{aligned} C &= 39.95(2) + 0.06(150) \\ C &= 79.90 + 9.00 \\ C &= 88.90 \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-option>(A) $48.95</mcq-option>
<mcq-option>(B) $80.02</mcq-option>
<mcq-correct>(C) $88.90</mcq-correct>
<mcq-option>(D) $40.01</mcq-option>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Algebra",
"Linear Modeling"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"multiple_choice_formatter",
"explain_then_answer",
"tutor",
"mastery_adaptive_brevity"
],
"needs_drawing": false,
"concepts_used": [
"Linear Modeling",
"Algebraic Expression Evaluation"
],
"new_concepts": [
"Cost Function Application"
],
"current_concepts": [
"Linear Modeling",
"Algebraic Expression Evaluation",
"Cost Function Application"
]
}
</pre_analysis>

<reasoning>

Formulate the cost equation

Using the Linear Modeling knowledge point
\[
C = 39.95d + 0.06m
\]

Evaluate the expression

Using the Algebraic Expression Evaluation knowledge point
\[

$$\begin{aligned} C &= 39.95(2) + 0.06(150) \\ C &= 79.90 + 9.00 \\ C &= 88.90 \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-option>(A) $48.95</mcq-option>
<mcq-option>(B) $80.02</mcq-option>
<mcq-correct>(C) $88.90</mcq-correct>
<mcq-option>(D) $40.01</mcq-option>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Algebra",
"Linear Modeling"
]
}
</post_analysis>