Respuesta :
Answer:
[tex]\text{r}=5.5\text{c}-20[/tex]
Step-by-step explanation:
GIVEN: On a [tex]40[/tex] question test students gain [tex]6[/tex] points for each correct answer and lose [tex]0.5[/tex] points on each incorrect answer. If everyone required to give an answer to each question.
TO FIND: the formulas that describes how a student's raw score, r, depends on the number of correct answers he or she provided, c.
SOLUTION:
Total number of incorrect questions [tex]=40-\text{c}[/tex]
Total marks deducted due to incorrect question [tex]=(40-\text{c})\times0.5=20-0.5\text{c}[/tex]
Total correct questions [tex]=\text{c}[/tex]
Total marks scored [tex]=6\text{c}[/tex]
Total raw marks [tex]\text{r}=\text{total marks gained}-\text{total marks deducted}[/tex]
[tex]\text{r}=6\text{c}-(20-0.5\text{c})[/tex]
[tex]\text{r}=5.5\text{c}-20[/tex]
ormulas that describes how a student's raw score, r, depends on the number of correct answers he or she provided, c is [tex]\text{r}=5.5\text{c}-20[/tex]
The formula that describes how a student's raw score, r, depends on the number of correct answers he or she provided, c is r = 5.5c - 20.
Calculation of the formula:
Since On a 40 question test students gain 6 points for each correct answer and lose 0.5 points on each incorrect answer
So, here the total no of incorrect questions should be 40-c
Now the total marks deducted should be
[tex]= (40-c)\times 0.5\\\\= 20-0.5c[/tex]
So, here the raw marks scored is
[tex]r = 6c - (20-0.5c)[/tex]
r = 5.5c - 20
Hence, The formula that describes how a student's raw score, r, depends on the number of correct answers he or she provided, c is r = 5.5c - 20.
Learn more about score here: https://brainly.com/question/24546293
