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A student has test scores of \( 62 \%, 79 \% \), and \( 85 \% \) in a government class. What must she score on the last exam to earn a B ( \( 80 \% \) or better) in the course? SUBMIT ANSWER

Ask by Welch Graham. in the United States
Mar 17,2025

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The student needs to score at least 94% on the last exam to earn a B in the course.

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Beyond the Answer

To find out what score the student needs on her last exam to achieve an overall average of \( 80\% \) in the course, you can use the average formula. The average of four tests (let's call the fourth test score \( x \)) is given by: \[ \frac{62 + 79 + 85 + x}{4} \geq 80 \] Multiplying both sides by 4 yields: \[ 62 + 79 + 85 + x \geq 320 \] Calculating the sum of the first three scores: \[ 62 + 79 + 85 = 226 \] Now, substituting this back into the inequality: \[ 226 + x \geq 320 \] Solving for \( x \): \[ x \geq 320 - 226 \] \[ x \geq 94 \] So, the student must score at least \( 94\% \) on her last exam to earn a B in the course.

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