at the gas station, gas usually costs \$3. this month, theres a sale: for every drink you purchase you save \$0.20 on gas.

assuming your sale savings are less than the cost of your gas, are your total savings on gas proportional to the number of drinks you purchase?

choose 1 answer:
(a) yes
(b) no

Question

at the gas station, gas usually costs \$3. this month, theres a sale: for every drink you purchase you save \$0.20 on gas.

assuming your sale savings are less than the cost of your gas, are your total savings on gas proportional to the number of drinks you purchase?

choose 1 answer:
(a) yes
(b) no

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": [ "Constant of Proportionality" ], "new_concepts": [ "Proportional Relationships" ], "current_concepts": [ "Constant of Proportionality", "Proportional Relationships" ] } ## Define variables for the relationship Using the *Constant of Proportionality* knowledge point $$ \begin{aligned} &d = \text{number of drinks purchased}\ &S = \text{total savings on gas (in dollars)}\ &S = 0.20 \cdot d \end{aligned} $$ ## Check for a proportional relationship Using the *Constant of Proportionality* knowledge point $$ \begin{aligned} &\frac{S}{d} = 0.20 \quad (d > 0)\ &\text{The ratio of savings to drinks is constant.} \end{aligned} $$

(A) Yes

(B) No

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Proportional Relationships" ] }

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QUESTION IMAGE

Question

Explanation:

Define variables for the relationship

Check for a proportional relationship

Answer: