Question

the graph shows the relationship between a gift card balance and the number of visits to a smoothie shop.

what is the amount spent on each visit to the smoothie shop?

• \\$18.00
• \\$4.00
• \\$3.00
• \\$6.00

Explanation:

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"new_concepts": [
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"current_concepts": [
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<reasoning>

Identify points from the graph

Find the coordinates of the plotted points.
Using the Y-Intercept concept, the initial balance is at \(x = 0\), which is \(18\).
Other points are \((1, 15)\), \((2, 12)\), \((3, 9)\), \((4, 6)\), \((5, 3)\), and \((6, 0)\).

Calculate the rate of change

Find the difference in balance per visit.
\[
\text{Change} = 18 - 15 = 3
\]
\[
\text{Change} = 15 - 12 = 3
\]

Determine the amount spent

The balance decreases by \(3\) dollars per visit.
Thus, the amount spent on each visit is \(\$3.00\).
</reasoning>

<answer>
<mcq-option>\(18.00\)</mcq-option>
<mcq-option>\(4.00\)</mcq-option>
<mcq-correct>\(3.00\)</mcq-correct>
<mcq-option>\(6.00\)</mcq-option>
</answer>

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"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Algebra",
"Linear Rate of Change"
]
}
</post_analysis>

Answer:

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"step_cot",
"multiple_choice_formatter",
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"new_concepts": [
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</pre_analysis>

<reasoning>

Identify points from the graph

Find the coordinates of the plotted points.
Using the Y-Intercept concept, the initial balance is at \(x = 0\), which is \(18\).
Other points are \((1, 15)\), \((2, 12)\), \((3, 9)\), \((4, 6)\), \((5, 3)\), and \((6, 0)\).

Calculate the rate of change

Find the difference in balance per visit.
\[
\text{Change} = 18 - 15 = 3
\]
\[
\text{Change} = 15 - 12 = 3
\]

Determine the amount spent

The balance decreases by \(3\) dollars per visit.
Thus, the amount spent on each visit is \(\$3.00\).
</reasoning>

<answer>
<mcq-option>\(18.00\)</mcq-option>
<mcq-option>\(4.00\)</mcq-option>
<mcq-correct>\(3.00\)</mcq-correct>
<mcq-option>\(6.00\)</mcq-option>
</answer>

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"question_type": "Multiple Choice",
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"Mathematics",
"Algebra",
"Linear Rate of Change"
]
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