Question

On a test, when a student gets full credit for an essay and answers 13 questions correctly, the student’s test score is 77. When a student gets full credit for an essay and answers18 questions correctly, the student’s test score is 97. Assume the relationship is linear. A line models the relationship between the number of questions correctly answered, x, and the test score, y. What is the slope of the line?

Answer 1

y=4x+25

Explanation:

97-77=20

20/5=4 (percent for each correct question)

13(4)=52 (percent for questions when score is 77%)

77-52=25 (percent essay is worth)