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# MATH 1220 – Fall 2024 Semester - Quiz 2 – Mr. Fajardo **Problem 1:** The percentage of college freshmen intending to major in general biology can be approximated by a linear equation: $y = \frac{1}{6}x + 6.1$ where: * $x$ represents the number of years since 2010. **a.** **Question:** In 20...

# MATH 1220 – Fall 2024 Semester - Quiz 2 – Mr. Fajardo **Problem 1:** The percentage of college freshmen intending to major in general biology can be approximated by a linear equation: $y = \frac{1}{6}x + 6.1$ where: * $x$ represents the number of years since 2010. **a.** **Question:** In 2019, approximately what percentage of college freshmen intended to major in biology? **Solution:** To find the percentage in 2019, we need to determine the value of x for 2019. Since x represents the number of years since 2010, x = 9 for the year 2019. Substituting x = 9 into the equation: $y = \frac{1}{6}(9) + 6.1$ $y = 1.5 + 6.1$ $y = 7.6$ **Answer:** Approximately 7.6% **b.** **Question:** In what year did approximately 7.1% of college freshmen intend to major in biology? **Solution:** Given $y = 7.1$, we need to find the value of x. Substituting $y = 7.1$ in the equation: $7.1 = \frac{1}{6}x + 6.1$ $7.1 - 6.1 = \frac{1}{6}x$ $1 = \frac{1}{6}x$ $x = 6$ Since x = 6 represents 6 years after 2010, the year is 2016. **Answer:** Approximately 2016