/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 4 You earned a score of 16 on a ... [FREE SOLUTION] | 91Ó°ÊÓ

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You earned a score of 16 on a quiz that was worth 20 points. Show why your score of 16 is equivalent to a score of 80 on a quiz worth 100 points.

Short Answer

Expert verified
Answer: The equivalent score is 80 on a 100-point quiz.

Step by step solution

01

Calculate percentage for the quiz worth 20 points.

To calculate the percentage, we need to find what fraction of the total points (20) is the score obtained (16) and then multiply it by 100. So, the formula for finding the percentage is (Score / Total Points) * 100. In this case, the score is 16, and the total points are 20. Therefore, the percentage is: (16 / 20) * 100.
02

Simplify the percentage for the quiz worth 20 points.

Now, we can simplify the expression: (16 / 20) * 100. Divide the numerator (16) by the denominator (20) to get the fraction: 16 ÷ 20 = 0.8. Next, multiply the result by 100: 0.8 * 100 = 80%. So, the percentage for the quiz worth 20 points is 80%.
03

Determine the equivalent score for a quiz worth 100 points.

Since the percentage for a quiz worth 20 points is 80%, we can now find the equivalent score for a quiz worth 100 points. The formula to find the score for a quiz worth 100 points is (Percentage * Total Points) / 100. In this case, the percentage is 80, and the total points are 100. Therefore, the equivalent score is (80 * 100) / 100.
04

Simplify the score for the quiz worth 100 points.

Now, we can simplify the expression: (80 * 100) / 100. Multiply the percentage (80) by the total points (100) to get the result: 80 * 100 = 8000. Next, divide the result by 100: 8000 ÷ 100 = 80. So, the equivalent score for a quiz worth 100 points is 80.
05

Compare the percentages.

The percentage for a quiz worth 20 points is 80%, and the equivalent score for a quiz worth 100 points is also 80. Since the percentages are the same, we can conclude that a score of 16 on a quiz worth 20 points is equivalent to a score of 80 on a quiz worth 100 points.

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