To find the unit rate, we can analyze the data provided in the table.
Olivia completed the following math questions at different times:
- 12 questions in 36 minutes
- 16 questions in 48 minutes
- 20 questions in 60 minutes
- 24 questions in 72 minutes
- 28 questions in 84 minutes
Now, let's calculate the rate of questions solved per minute. Here’s the data breakdown:
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For 12 questions in 36 minutes: \[ \text{Rate} = \frac{12 \text{ questions}}{36 \text{ minutes}} = \frac{1}{3} \text{ questions per minute} \approx 0.33 \]
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For 16 questions in 48 minutes: \[ \text{Rate} = \frac{16 \text{ questions}}{48 \text{ minutes}} = \frac{1}{3} \text{ questions per minute} \approx 0.33 \]
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For 20 questions in 60 minutes: \[ \text{Rate} = \frac{20 \text{ questions}}{60 \text{ minutes}} = \frac{1}{3} \text{ questions per minute} \approx 0.33 \]
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For 24 questions in 72 minutes: \[ \text{Rate} = \frac{24 \text{ questions}}{72 \text{ minutes}} = \frac{1}{3} \text{ questions per minute} \approx 0.33 \]
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For 28 questions in 84 minutes: \[ \text{Rate} = \frac{28 \text{ questions}}{84 \text{ minutes}} = \frac{1}{3} \text{ questions per minute} \approx 0.33 \]
Next, we can find the time taken per question. Inverting the rate gives us:
\[ \text{Time per question} = \frac{36}{12} = 3 \text{ minutes per question} \] \[ \text{Time per question} = \frac{48}{16} = 3 \text{ minutes per question} \] \[ \text{Time per question} = \frac{60}{20} = 3 \text{ minutes per question} \] \[ \text{Time per question} = \frac{72}{24} = 3 \text{ minutes per question} \] \[ \text{Time per question} = \frac{84}{28} = 3 \text{ minutes per question} \]
Thus, Olivia takes 3 minutes for each question, meaning:
Correct Answer: A. For every question, Olivia takes 3 minutes.