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C=1.2272 M+3.0556 F
An English teacher uses the equation above to give the composite score, 
C, on the final exam, given 
M correct multiple choice answers and 
F points on the free response questions. Which of the following equations correctly gives the number of correct multiple choice answers in terms of the composite score and the number of points on the free response questions?
Choose 1 answer:
(A) 
M=(C-3.0556 F)/(1.2272)
(B) 
M=(C)/( 1.2272)-3.05561
(c) 
M=(3.0556 F-C)/(1.2272)
(D) 
M=(3.0556 F)/(1.2272)-C

C=1.2272M+3.0556F C=1.2272 M+3.0556 F \newlineAn English teacher uses the equation above to give the composite score, C C , on the final exam, given M M correct multiple choice answers and F F points on the free response questions. Which of the following equations correctly gives the number of correct multiple choice answers in terms of the composite score and the number of points on the free response questions?\newlineChoose 11 answer:\newline(A) M=C3.0556F1.2272 M=\frac{C-3.0556 F}{1.2272} \newline(B) M=C1.22723.05561 M=\frac{C}{1.2272}-3.05561 \newline(C) M=3.0556FC1.2272 M=\frac{3.0556 F-C}{1.2272} \newline(D) M=3.0556F1.2272C M=\frac{3.0556 F}{1.2272}-C

Full solution

Q. C=1.2272M+3.0556F C=1.2272 M+3.0556 F \newlineAn English teacher uses the equation above to give the composite score, C C , on the final exam, given M M correct multiple choice answers and F F points on the free response questions. Which of the following equations correctly gives the number of correct multiple choice answers in terms of the composite score and the number of points on the free response questions?\newlineChoose 11 answer:\newline(A) M=C3.0556F1.2272 M=\frac{C-3.0556 F}{1.2272} \newline(B) M=C1.22723.05561 M=\frac{C}{1.2272}-3.05561 \newline(C) M=3.0556FC1.2272 M=\frac{3.0556 F-C}{1.2272} \newline(D) M=3.0556F1.2272C M=\frac{3.0556 F}{1.2272}-C
  1. Given Equation: We are given the equation C=1.2272M+3.0556FC = 1.2272M + 3.0556F and we need to solve for MM in terms of CC and FF. To do this, we will isolate MM on one side of the equation. Subtract 3.0556F3.0556F from both sides of the equation to get C3.0556F=1.2272MC - 3.0556F = 1.2272M.
  2. Isolate M: Now, divide both sides of the equation by 1.22721.2272 to solve for MM.\newlineM=(C3.0556F)1.2272.M = \frac{(C - 3.0556F)}{1.2272}.
  3. Divide and Solve: Check the answer choices to see which one matches our derived equation.\newline(A) M=C3.0556F1.2272M = \frac{C - 3.0556F}{1.2272} is the correct match.

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