46. Grades A student receives the grades shown below, with an A worth 4 points, a B worth 3 points, a C worth 2 points, and a D worth 1 point. What is the student's grade point average? \( \begin{array}{ll}\text { A in } 1 \text { four-credit class } & \text { C in } 1 \text { three-credit class } \\ \text { B in } 2 \text { three-credit classes } & \text { D in } 1 \text { two-credit class }\end{array} \)

To calculate the grade point average (GPA), multiply each grade by its corresponding credit hours, sum these values, and then divide by the total number of credits. For the given grades: - A (4 points) in 1 four-credit class: \(4 \times 4 = 16\) - B (3 points) in 2 three-credit classes: \(3 \times 3 + 3 \times 3 = 9 + 9 = 18\) - C (2 points) in 1 three-credit class: \(2 \times 3 = 6\) - D (1 point) in 1 two-credit class: \(1 \times 2 = 2\) Now, sum these values: \(16 + 18 + 6 + 2 = 42\). Next, sum the total credits: \(4 + 3 + 3 + 2 = 12\). Finally, divide the total points by total credits to find the GPA: \[ GPA = \frac{42}{12} = 3.5 \] The student's grade point average (GPA) is 3.5! Now, let’s talk about why GPA matters and how to avoid common pitfalls when calculating it! A person's GPA serves as a crucial indicator of academic performance, impacting college admissions and scholarship opportunities. Many schools utilize GPA as a way to streamline applications and differentiate between students. It's not just a number; think of it as a badge showcasing your dedication and hard work! When calculating your GPA, one common mistake is miscalculating the total credits or neglecting to assign the correct point value for grades. Always double-check your entries and computation to ensure accuracy. When in doubt, getting a second pair of eyes on it can save you from potential errors that could alter your academic standing!