T=0.25q+87Manon'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
Q. T=0.25q+87Manon'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
Linear relationship equation: The equation T=0.25q+87 represents a linear relationship between the number of extra credit questions Manon answers correctly (q) and her overall grade (T). The coefficient 0.25 represents the amount of points each extra credit question adds to her overall grade.
Y-intercept value: The number 87 is the y-intercept of the equation, which is the value of T when q is 0. This means that before adding any points from extra credit questions, Manon's overall grade is 87.
Interpretation of 87: Given that the 87 is the starting value of T when no extra credit questions have been answered, it cannot represent the number of opportunities for extra credit (D), nor can it represent a threshold that Manon must exceed to pass (A), as it is a given starting point, not a condition or a goal.
Average before extra credit: The 87 also cannot represent Manon's average after adding in her extra credit (C), because it is the value before any extra credit is added. The correct interpretation of the 87 in the equation is that it represents Manon's average before adding the extra credit (B).
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