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T=0.25 q+87
Manon's statistics professor puts a bonus question on every test, which adds 0.25 points to a student's overall grade at the end of the term. The equation gives Manon's current overall grade, 
T, after taking into account 
q extra credit questions answered correctly. What does the 87 mean in this equation?
Choose 1 answer:
(A) Manon must get an 87 or above to pass.
(B) Manon's average is an 87 before adding the extra credit.
(c) After adding in her extra credit, Manon's average is an 87 .
(D) Manon's professor gave 87 opportunities for extra credit this term.
linear relationships | Lesson

T=0.25q+87 T=0.25 q+87 \newlineManon's statistics professor puts a bonus question on every test, which adds 00.2525 points to a student's overall grade at the end of the term. The equation gives Manon's current overall grade, T T , after taking into account q q extra credit questions answered correctly. What does the 8787 mean in this equation?\newlineChoose 11 answer:\newline(A) Manon must get an 8787 or above to pass.\newline(B) Manon's average is an 8787 before adding the extra credit.\newline(C) After adding in her extra credit, Manon's average is an 8787 .\newline(D) Manon's professor gave 8787 opportunities for extra credit this term.\newlinelinear relationships | Lesson

Full solution

Q. T=0.25q+87 T=0.25 q+87 \newlineManon's statistics professor puts a bonus question on every test, which adds 00.2525 points to a student's overall grade at the end of the term. The equation gives Manon's current overall grade, T T , after taking into account q q extra credit questions answered correctly. What does the 8787 mean in this equation?\newlineChoose 11 answer:\newline(A) Manon must get an 8787 or above to pass.\newline(B) Manon's average is an 8787 before adding the extra credit.\newline(C) After adding in her extra credit, Manon's average is an 8787 .\newline(D) Manon's professor gave 8787 opportunities for extra credit this term.\newlinelinear relationships | Lesson
  1. Linear relationship equation: The equation T=0.25q+87T=0.25q+87 represents a linear relationship between the number of extra credit questions Manon answers correctly (qq) and her overall grade (TT). The coefficient 0.250.25 represents the amount of points each extra credit question adds to her overall grade.
  2. Y-intercept value: The number 8787 is the y-intercept of the equation, which is the value of TT when qq is 00. This means that before adding any points from extra credit questions, Manon's overall grade is 8787.
  3. Interpretation of 8787: Given that the 8787 is the starting value of TT when no extra credit questions have been answered, it cannot represent the number of opportunities for extra credit (DD), nor can it represent a threshold that Manon must exceed to pass (AA), as it is a given starting point, not a condition or a goal.
  4. Average before extra credit: The 8787 also cannot represent Manon's average after adding in her extra credit (CC), because it is the value before any extra credit is added. The correct interpretation of the 8787 in the equation is that it represents Manon's average before adding the extra credit (BB).

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