Respuesta :
Hello!
To find the amount of points the student received, we can write an equation.
In this question, we can use x to represent the number of questions.
We know that he answered 40 questions, and he got 32 correct. Therefore, the student got 8 questions incorrect.
40 - 32 = 8 questions
Since there was a total of 50 questions, and he answered 40 questions, he was unable to answer 10 questions.
50 - 40 = 10 questions
For every question correct, he gets 2 points. This can be shown by 2x.
For every question incorrect, he gets marked down 0.25 points, which is shown by -0.25x.
Finally, for every question he does not answer, he gets no points. This can be shown by 0x.
With that, we can write our expression.
2x + -0.25x + 0x
Now, let’s subsitute the number of questions he got correct, incorrect, or did not answer.
2(32) + -0.25(8) + 0(10)
64 + -2 + 0
62
Therefore, the student received 62 points.
