A student scored 66 points on his Psychology 101 midterm. If the average of his midterm and final must be between 78 and 90 inclusive for a B, then for what range of scores on the final exam would a student get a B? Both tests have a maximum of 100 points. Hint: Write a compound inequality with his average between 78 and 90 inclusive.
Accepted Solution
A:
Answer:range of scores on final exam student get B is 90 to 100 Step-by-step explanation:given data Psychology 101 score = 66 average of his midterm = between 78 and 90maximum = 100 pointsto find outrange of scores on final exam student get Bsolutionwe consider here lowest marks need in final = x so average at two marks should be equation is average marks = 0.5 × ( mid term marks + final marks ) .................1put here value 78 = 0.5 × ( 66 + x ) x = 90and 90 = 0.5 × ( 66 + x ) x = 114so range 90 to 114 but maximum marks is 100 so range of scores on final exam student get B is 90 to 100