Question

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.

Answer 1

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 90

maximum = 100 points

to find out

range of scores on final exam student get  B

solution

we 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 )      .................1

put here value

78 = 0.5 ×  ( 66 + x )

x = 90

and

90 = 0.5 ×  ( 66 + x )

x = 114

so range 90 to 114

but maximum marks is 100 so

range of scores on final exam student get  B is 90 to 100