Which of the following scenarios best represents a constant rate of change?Group of answer choicesBYUI enrollment statistics for a particular winter semester show an increase of about 7.5% over the previous winter’s enrollment.A new minivan can lose 20.61% of its value in the first year of ownership.During a recent storm, hail accumulated at 1.8 inches per hour.David invested $1,425 at an APR of 4% for 8 years.The value of Devin's rental property increased by 1.8% in the first 5 years of ownership.
Question
Which of the following scenarios best represents a constant rate of change?Group of answer choicesBYUI enrollment statistics for a particular winter semester show an increase of about 7.5% over the previous winter’s enrollment.A new minivan can lose 20.61% of its value in the first year of ownership.During a recent storm, hail accumulated at 1.8 inches per hour.David invested $1,425 at an APR of 4% for 8 years.The value of Devin's rental property increased by 1.8% in the first 5 years of ownership.
Solution
To determine which scenario best represents a constant rate of change, we need to identify the scenario where the change occurs at a uniform rate over time. Let's analyze each option:
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BYUI enrollment statistics for a particular winter semester show an increase of about 7.5% over the previous winter’s enrollment.
- This represents a percentage increase, which is not a constant rate of change because the actual number of students added each year would vary depending on the previous year's enrollment.
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A new minivan can lose 20.61% of its value in the first year of ownership.
- This represents a percentage decrease in value, which is not a constant rate of change because the amount of value lost each year would vary depending on the initial value.
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During a recent storm, hail accumulated at 1.8 inches per hour.
- This represents a constant rate of change because the hail accumulates at a uniform rate of 1.8 inches every hour.
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David invested $1,425 at an APR of 4% for 8 years.
- This represents a percentage increase in investment value, which is not a constant rate of change because the amount of interest earned each year would vary depending on the previous year's balance.
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The value of Devin's rental property increased by 1.8% in the first 5 years of ownership.
- This represents a percentage increase, which is not a constant rate of change because the actual amount of value added each year would vary depending on the initial property value.
Based on the analysis, the scenario that best represents a constant rate of change is:
During a recent storm, hail accumulated at 1.8 inches per hour.
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