Solve the problem.
-Ashley's grades on her first 3 exams are 85, 78, and 79. An average greater than or equal to 80 and less than 90 will result in a final grade of B. What range of grades on Ashley's fourth and final exam will result in a final
Grade of B? The maximum grade is 100.
D) Impossible to get a B.

Question

Quizplus · Accepted Answer

To get a final grade of B, Ashley needs to have an average score greater than or equal to 80 and less than 90. We can start by finding the sum of Ashley's first three exam grades: 85 + 78 + 79 = 242 To get a final grade of 80, Ashley needs to have a total of: 80 * 4 = 320 So, Ashley needs to score a total of 320 - 242 = 78 on her fourth and final exam. To get a final grade of less than 90, we need to make sure that Ashley's average score does not exceed 89. To calculate her average score, we can divide the total by the number of exams: (85 + 78 + 79 + x) / 4 ≤ 89 Simplifying this inequality, we get: (x) / 4 ≤ 87 Multiplying both sides by 4, we get: x ≤ 348 Since the maximum grade is 100, the range of grades for Ashley's fourth exam that will result in a final grade of B is: 78 ≤ x ≤ 100 The only choice that includes this range is B. To get a final grade of B, Ashley needs to have an average of at least 80 and less than 90. Let x be the grade on the fourth exam. We can use the formula for average: (85 + 78 + 79 + x)/4 >= 80 and (85 + 78 + 79 + x)/4 < 90 Multiplying both sides by 4, we get: 85 + 78 + 79 + x >= 320 and 85 + 78 + 79 + x < 360 Simplifying: x >= 78 and x < 118 Since the maximum grade is 100, the only possible range for x is between 78 and 100. Therefore, the answer is choice B: 11ebb63d_1c0a_760d_b851_29aa93de3ca4_TB8475_11.

Solve the Problem. -Ashley's Grades on Her First 3 Exams Are 85, 78