There are 20 questions in a quiz. Each correct answer scores 7 points, each wrong answer scores -4 points. Eric took the quiz and scored 100 points. How many questions did he left blank?.

1 question

Step-by-step explanation:

There are 20 questions in a quiz. Each correct answer scores 7 points, each wrong answer scores -4 points.

Total number of correct answers = 20 Questions × 7 points = 140 points

Total number of wrong answer = -4 × 20 questions = -80 points

We are told that:

Eric took the quiz and scored 100 points.

Therefore, the number of questions he left blank is 1 question

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

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