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? \( \begin{array}{ll}\text { A in } 1 \text { four-credit class } & \text { C in } 1 \text { three-credit class } \\ \text { B in } 2 \text { three-credit classes } & \text { D in } 1 \text { two-credit class }\end{array} \)
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The Deep Dive
To calculate the GPA, you start by determining the grade points earned for each class based on the grade and the number of credits. For the A in a four-credit class, it's \(4 \times 4 = 16\) points. The B in two three-credit classes yields \(3 \times 3 + 3 \times 3 = 18\) points. The C in a three-credit class gives \(2 \times 3 = 6\) points, and the D in a two-credit class gives \(1 \times 2 = 2\) points. Adding these up, you get \(16 + 18 + 6 + 2 = 42\) points. The total credits are \(4 + 3 + 3 + 2 = 12\). Finally, the GPA is \( \frac{42}{12} = 3.5\). So, the student’s GPA is 3.5! 🎉 That's a solid performance; keep up that good work, and you'll be climbing even higher on that academic ladder!