Problema Solution
Caitlyn needs to earn a B in her geology class. Her current test scores are 78,93,79, and 82. Her final exam is worth 4 test scores. In order to earn a B Caitlyn's average must lie between 80 and 89 inclusive. What range of scores can Caitlyn receive on the final exam to earn a B in the course?
Answer provided by our tutors
let x = the score on the final exam
the average is: (78 + 93 + 79 + 82 + 4x)/(4 + 4)
the average must lie between 80 and 89 inclusive:
80 <= (78 + 93 + 79 + 82 + 4x)/(4 + 4)
by solving we find:
x >= 77
click here to see the step by step solution of the inequality:
(78 + 93 + 79 + 82 + 4x)/(4 + 4) <= 89
by solving we find:
x <= 95
click here to see the step by step solution of the inequality:
the range of scores that Caitlyn can receive on the final exam to earn a B in the course is between 77 and 95 inclusive.