QuestionWhat does the number 0.8636 represent in the equation $y=0.8636 x+27.227$ for students per classroom at Central High School?

Studdy Solution

STEP 1

Assumptions1. The average number of students per classroom, $y$ , at Central High School is given by the equation $y=0.8636 x+27.227$ . $x$ represents the number of years since2004 and $x \leq10$ .

STEP 2

In the given equation $y=0.8636 x+27.227$ , $0.8636$ is the coefficient of $x$ . In the context of this problem, $x$ represents the number of years since2004.

STEP 3

The coefficient of $x$ in a linear equation represents the rate of change of the dependent variable ( $y$ in this case) with respect to the independent variable ( $x$ in this case).

STEP 4

In this context, the dependent variable is the average number of students per classroom and the independent variable is the number of years since2004.

STEP 5

Therefore, the coefficient $0.863$ represents the rate of change of the average number of students per classroom with respect to the number of years since2004.

STEP 6

Since the coefficient $0.8636$ is positive, it indicates that the average number of students per classroom is increasing each year.

STEP 7

Therefore, the best interpretation of the number $0.8636$ in the context of this problem is that it represents the estimated yearly increase in the average number of students per classroom.
The correct answer is D) The estimated yearly increase in the average number of students per classroom.

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QuestionWhat does the number 0.8636 represent in the equation $y=0.8636 x+27.227$ for students per classroom at Central High School?

Studdy Solution

STEP 1

Assumptions1. The average number of students per classroom, $y$ , at Central High School is given by the equation $y=0.8636 x+27.227$ . $x$ represents the number of years since2004 and $x \leq10$ .

STEP 2

In the given equation $y=0.8636 x+27.227$ , $0.8636$ is the coefficient of $x$ . In the context of this problem, $x$ represents the number of years since2004.

STEP 3

The coefficient of $x$ in a linear equation represents the rate of change of the dependent variable ( $y$ in this case) with respect to the independent variable ( $x$ in this case).

STEP 4

In this context, the dependent variable is the average number of students per classroom and the independent variable is the number of years since2004.

STEP 5

Therefore, the coefficient $0.863$ represents the rate of change of the average number of students per classroom with respect to the number of years since2004.

STEP 6

Since the coefficient $0.8636$ is positive, it indicates that the average number of students per classroom is increasing each year.

STEP 7

Therefore, the best interpretation of the number $0.8636$ in the context of this problem is that it represents the estimated yearly increase in the average number of students per classroom.
The correct answer is D) The estimated yearly increase in the average number of students per classroom.

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QuestionWhat does the number 0.8636 represent in the equation y=0.8636x+27.227y=0.8636 x+27.227y=0.8636x+27.227 for students per classroom at Central High School?

Studdy Solution

STEP 1

Assumptions1. The average number of students per classroom, yyy, at Central High School is given by the equation y=0.8636x+27.227y=0.8636 x+27.227y=0.8636x+27.227 . xxx represents the number of years since2004 and x≤10x \leq10x≤10.

STEP 2

In the given equation y=0.8636x+27.227y=0.8636 x+27.227y=0.8636x+27.227, 0.86360.86360.8636 is the coefficient of xxx. In the context of this problem, xxx represents the number of years since2004.

STEP 3

The coefficient of xxx in a linear equation represents the rate of change of the dependent variable (yyy in this case) with respect to the independent variable (xxx in this case).

STEP 4

In this context, the dependent variable is the average number of students per classroom and the independent variable is the number of years since2004.

STEP 5

Therefore, the coefficient 0.8630.8630.863 represents the rate of change of the average number of students per classroom with respect to the number of years since2004.

STEP 6

Since the coefficient 0.86360.86360.8636 is positive, it indicates that the average number of students per classroom is increasing each year.

STEP 7

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QuestionWhat does the number 0.8636 represent in the equation $y=0.8636 x+27.227$ for students per classroom at Central High School?

Assumptions1. The average number of students per classroom, $y$ , at Central High School is given by the equation $y=0.8636 x+27.227$ . $x$ represents the number of years since2004 and $x \leq10$ .

In the given equation $y=0.8636 x+27.227$ , $0.8636$ is the coefficient of $x$ . In the context of this problem, $x$ represents the number of years since2004.

The coefficient of $x$ in a linear equation represents the rate of change of the dependent variable ( $y$ in this case) with respect to the independent variable ( $x$ in this case).

Therefore, the coefficient $0.863$ represents the rate of change of the average number of students per classroom with respect to the number of years since2004.

Since the coefficient $0.8636$ is positive, it indicates that the average number of students per classroom is increasing each year.