Question

On a 40 question test students gain 6 points for each correct answer and lose 0.5 points on each incorrect answer. If everyone required to give an answer to each question, what is the formulas that describes how a student's raw score, r, depends on the number of correct answers he or she provided, c?

Answer 1

Answer:

$\text{r}=5.5\text{c}-20$

Step-by-step explanation:

GIVEN: On a $40$ question test students gain $6$ points for each correct answer and lose $0.5$ 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 $=40-\text{c}$

Total marks deducted due to incorrect question $=(40-\text{c})\times0.5=20-0.5\text{c}$

Total correct questions $=\text{c}$

Total marks scored $=6\text{c}$

Total raw marks $\text{r}=\text{total marks gained}-\text{total marks deducted}$

                           $\text{r}=6\text{c}-(20-0.5\text{c})$

                           $\text{r}=5.5\text{c}-20$

ormulas that describes how a student's raw score, r, depends on the number of correct answers he or she provided, c is  $\text{r}=5.5\text{c}-20$