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9. During the past week, Mr. Hamilton gave one quiz and one exam to his high school algebra class.
It takes Mr. Hamilton of an hour to grade one student's exam and of an hour to grade one
student's quiz. If x represents the number of students that took the quiz and exam, which
equation below could be used to find the y, the total amount of time, in hours, spent grading?
a) y = 6x
b) y = -X
45
c) y = -x
101
d) y = x

Respuesta :

MrRoyal

Missing Information:

It takes Mr. Hamilton 1/15  of an hour to grade one student’s exam and 1/30  of an hour to grade one  student’s quiz.

Answer:

[tex]Total\ Time = \frac{x}{10}[/tex]

Step-by-step explanation:

Given

[tex]Exam = \frac{1}{15}hr[/tex]

[tex]Quiz = \frac{1}{30}hr[/tex]

Required

Determine the time spent on x students

First, we need to determine the total time spent on 1 student

[tex]Time = Exam + Quiz[/tex]

[tex]Time = \frac{1}{15} + \frac{1}{30}[/tex]

Take LCM

[tex]Time = \frac{2 + 1}{30}[/tex]

[tex]Time = \frac{3}{30}[/tex]

[tex]Time = \frac{1}{10}[/tex]

Next is to determine the total time on x students:

[tex]Total\ Time = \frac{1}{10} * x[/tex]

[tex]Total\ Time = \frac{x}{10}[/tex]

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