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$T$ = $0$ . $25q$ $+ 87$ $\newline$ 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? $\newline$ Choose $1$ answer: $\newline$ (A) Manon must get an $87$ or above to pass. $\newline$ (B) Manon's average is an $87$ before adding the extra credit. $\newline$ (C) After adding in her extra credit, Manon's average is an $87$ . $\newline$ (D) Manon's professor gave $87$ opportunities for extra credit this term.

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Evaluate two-variable equations: word problems

Full solution

Q.

T

=

0

.

25q

+ 87

\newline

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?

\newline

Choose

1

answer:

\newline

(A) Manon must get an

87

or above to pass.

\newline

(B) Manon's average is an

87

before adding the extra credit.

\newline

(C) After adding in her extra credit, Manon's average is an

87

.

\newline

(D) Manon's professor gave

87

opportunities for extra credit this term.

Analyze Equation T: Step $1$ : Analyze the equation $T = 0.25q + 87$ to understand what each component represents.
Interpret Constant $87$ : Step $2$ : Interpret the constant $87$ in the context of the equation.
Match Interpretation with Choices: Step $3$ : Match the interpretation of $87$ with the provided answer choices.

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