4. A student has earned the following scores on four 100 -point tests this marking period: $$ 63,72,88 $$, and 91 What score must the student earn on the fifth and fina 100 -point test of the marking period to earn an average test grade of 80 for the tive tests?

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The student needs to score 86 on the fifth test to have an average of 80. To find the score the student needs on the fifth test to achieve an average of 80, we can use the formula for the average: $$ \text{Average} = \frac{\text{Sum of all scores}}{\text{Number of tests}} $$ In this case, we want the average to be 80 after 5 tests. Let $$ x $$ be the score the student needs on the fifth test. The sum of the scores from the first four tests is: $$ 63 + 72 + 88 + 91 = 314 $$ Now, we can set up the equation for the average: $$ \frac{314 + x}{5} = 80 $$ To eliminate the fraction, multiply both sides by 5: $$ 314 + x = 400 $$ Now, solve for $$ x $$: $$ x = 400 - 314 $$ $$ x = 86 $$ Therefore, the student must earn a score of **86** on the fifth test to achieve an average of 80.

4. A student has earned the following scores on four 100 -point tests this marking period: \( 63,72,88 \), and 91 What score must the student earn on the fifth and fina 100 -point test of the marking period to earn an average test grade of 80 for the tive tests?

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4. A student has earned the following scores on four 100 -point tests this marking period: \( 63,72,88 \), and 91 What score must the student earn on the fifth and fina 100 -point test of the marking period to earn an average test grade of 80 for the tive tests?

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