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Questions and Answers
What percentage of college freshmen intended to major in biology in 2019?
What percentage of college freshmen intended to major in biology in 2019?
What is the value of x for the year 2021 in the given equation?
What is the value of x for the year 2021 in the given equation?
If the percentage of freshmen majoring in biology is 6.7%, which year does this approximately correspond to?
If the percentage of freshmen majoring in biology is 6.7%, which year does this approximately correspond to?
What is the percentage of college freshmen intending to major in biology if x equals 3?
What is the percentage of college freshmen intending to major in biology if x equals 3?
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What is the slope of the linear equation representing the percentage of freshmen intending to major in biology?
What is the slope of the linear equation representing the percentage of freshmen intending to major in biology?
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Study Notes
Percentage of Freshmen Majoring in Biology
- A linear equation approximates the percentage of college freshmen intending to major in biology: y = (1/6)x + 6.1
- x represents the number of years since 2010
- x = 0 corresponds to 2010
2019 Percentage
- To find the percentage in 2019, determine x for 2019: x = 2019 - 2010 = 9
- Substitute x = 9 into the equation: y = (1/6) * 9 + 6.1 = 7.6%
Year for 7.1%
- To find the year when the percentage was 7.1%, set y = 7.1 in the equation: 7.1 = (1/6)x + 6.1
- Solve for x: x = 6 * (7.1 - 6.1) = 6 * 1 = 6
- Add 6 to the base year (2010): 2010 + 6 = 2016
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Description
Explore the linear equation that models the percentage of college freshmen planning to major in biology from 2010 onward. This quiz covers calculations for specific years and the relationship between time and percentage interest in biology. Test your understanding of linear equations and their real-world applications.
