Question

Madison's scores on the first three of four 100-point science tests were 95, 92, and 89. What score does she need on her fourth science test to ensure an average score of at least 93 Define a variable, write an inequality, and solve the inequality.

A) X ≥ 96.
B) X ≤ 90.
C) X ≥ 88.
D) X ≤ 92

Answer 1

Madison needs a score of at least 96 on her fourth test to have an average score of at least 93. We define the variable x for the fourth score, write an inequality, and solve it to find A) x ≥ 96.

Step-by-step explanation:

Madison needs to determine what score she requires on her fourth science test to ensure her average is at least 93. With her current scores of 95, 92, and 89, we define a variable, x, to represent the unknown score she needs on the fourth test. To find x, we write the inequality representing her average: ((95 + 92 + 89 + x) / 4) ≥ 93. Simplifying this equation gives: (276 + x) / 4 ≥ 93, which reduces further to 276 + x ≥ 372. Solving for x gives: x ≥ 96. Therefore, the answer is A) X ≥ 96.