College Freshmen Biology Major Trends

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Questions and Answers

What percentage of college freshmen intended to major in biology in 2019?

7.6% (correct)
6.1%
5.5%
8.9%

What is the value of x for the year 2021 in the given equation?

12
9
11
10 (correct)

If the percentage of freshmen majoring in biology is 6.7%, which year does this approximately correspond to?

2017 (correct)
2015
2020
2018

What is the percentage of college freshmen intending to major in biology if x equals 3?

<p>6.1% (D)</p> Signup and view all the answers

What is the slope of the linear equation representing the percentage of freshmen intending to major in biology?

<p>1/6 (A)</p> Signup and view all the answers

Flashcards

Linear equation for biology majors

The equation y = (1/6)x + 6.1 represents the approximate percentage (y) of college freshmen intending to major in biology, where x is the number of years since 2010.

Finding the percentage in a specific year

To find the percentage of biology majors in a specific year, substitute the number of years since 2010 (x) into the equation y = (1/6)x + 6.1 and solve for y.

Finding the year for a specific percentage

To find the year when a specific percentage of freshmen intended to major in biology, substitute the desired percentage (y) into the equation y = (1/6)x + 6.1 and solve for x.

What is the meaning of 'x' in this equation?

'x' represents the number of years that have passed since the year 2010. So if x = 5, it means 5 years have passed since 2010.

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What is the meaning of 'y' in this equation?

'y' represents the approximate percentage of college freshmen who intended 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