SOLUTION: On a 50 question true-false test, a student received 3 points for each correct answer. For each incorrect aswer, the student lost 1 point. For uanswered question, no poits were a

Question 102867This question is from textbook Algebra and Trig Book 2
: On a 50 question true-false test, a student received 3 points for each correct answer. For each incorrect aswer, the student lost 1 point. For uanswered question, no poits were added or deducted.
a. What is the best possible score
b. Find the worst possible score
c. Find the linear function that converts the raw score described above to a score from 0-100.
d. What score fom 0-100 corresponds to a test result of 38 correct, 4 incorrect, and 8 omitted. This question is from textbook Algebra and Trig Book 2

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
On a 50 question true-false test, a student received 3 points for each correct answer. For each incorrect aswer, the student lost 1 point. For uanswered question, no poits were added or deducted.
a. What is the best possible score.........150
b. Find the worst possible score..........-50
c. Find the linear function that converts the raw score described above to a score from 0-100.
You have two points (-50,0),(150,100)
slope = 100/200 = 1/2
0 = (1/2)(-50)]+b
b= 25
y = (1/2)x+25
--------------------
d. What score fom 0-100 corresponds to a test result of 38 correct, 4 incorrect, and 8 omitted.
38 correct = 38*3 = 114 pts
4 incorrect = -4
Total point = 110
--------
Conerting to the new scale:
y = (1/2)x+25
y = (1/2)110+25
y = 80
=================
Cheers,
Stan H.
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