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A college student takes the same number of credits each semester. She had 12 credits when she started, and after 8 semesters, she had 124 credits. Which of these expresses the rate at which she is earning credits? Select the correct answer below: 112 credits per semester 7 credits per semester 3 credits per semester 7 semesters per credit 14 semesters per credit

Ask by Sherman Murray. in the United States
Feb 25,2025

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Answer

She earns 14 credits per semester.

Solution

To find the rate at which the college student is earning credits, we need to determine how many credits she earns per semester. Given: - Initial credits: 12 - Total credits after 8 semesters: 124 Let's denote the number of credits she earns per semester as \( x \). The total number of credits after 8 semesters can be represented by the equation: \[ 12 + 8x = 124 \] Now, we can solve for \( x \) to find the rate at which she is earning credits. Solve the equation by following steps: - step0: Solve for \(x\): \(12+8x=124\) - step1: Move the constant to the right side: \(8x=124-12\) - step2: Subtract the numbers: \(8x=112\) - step3: Divide both sides: \(\frac{8x}{8}=\frac{112}{8}\) - step4: Divide the numbers: \(x=14\) The solution to the equation is \( x = 14 \), which means the college student earns 14 credits per semester. Therefore, the correct answer is: - 14 credits per semester

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To find out how many credits the student earned each semester, we first calculate the total credits earned over the 8 semesters. She started with 12 credits and ended with 124 credits, meaning she earned 124 - 12 = 112 credits over 8 semesters. Now, to find the rate per semester, we divide 112 by 8 semesters, which gives us 14 credits per semester. A fun fact is that the concept of credit hours in colleges originated in the early 20th century. The Carnegie Foundation introduced the system to standardize educational workloads and measure the time a student spends on schoolwork. This way, everyone knows how much work equals a "unit" of education! Additionally, earning credits is not just about attending classes; it also involves homework, projects, and exams. To avoid common pitfalls, students should stay organized with their study schedules, and not leave assignments to the last minute, which can lead to a decrease in productivity and overall performance. Balancing study and social activities can also play a significant role in successfully accumulating credits.

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