Question 102867
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
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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
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Conerting to the new scale:
y = (1/2)x+25
y = (1/2)110+25
y = 80
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Cheers,
Stan H.