Question

a student is taking a spanish course in which there will be four tests, each worth 100 points. the student has scores of 99, 92, and 100 on the first three tests. the student must make a total of at least 360 in order to get an a. what scores on the last test will give the student an a? let s represents the score on the last test. select the correct choice below and fill in the answer box to complete your choice. (simplify your answer. type an integer or a decimal.) a. the solution set is {s | s > }. b. the solution set is {s | s ≤ }. c. the solution set is {s | s ≥ }. d. the solution set is {s | s < }.

Explanation:

Step1: Calculate sum of first 3 scores

$99 + 92+100=291$

Step2: Set up inequality for total score

Let $s$ be the score on the last test. The total score of four tests should be at least 360, so $291 + s\geq360$.

Step3: Solve the inequality for $s$

Subtract 291 from both sides: $s\geq360 - 291$, so $s\geq69$.

Answer:

C. The solution set is $\{s\mid s\geq69\}$