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1. The average number of students per classroom at Central High School from 2000 to 2010 can be modeled by the equation y = 0.56x + 27.2, where x represents the number of years since 2000, and y represents the average number of students per classroom. Which of the following best describes the meaning of the number 0.56 in the equation? A) The total number of students at the school in 2000.B) The average number of students per classroom in 2000.C) The estimated increase in the average number of students per classroom each year.D) The estimated difference between the average number of students per classroom in 2010 and in 2000.

Sagot :

Given the equation:

y = 0.56x + 27.2

The equation above represents the average number of students per classroom at a Central High school from 2000 to 2010.

Where,

x represents the number of years since year 2000

y represents the average number of students per classroom

Also, 27.2 represents the number of students at the school in 2000.

Since the equation is in slope intercept form: y = mx + b, where m is the slope.

This means that 0.56 represents the slope and slope can be simply defined as the average rate of change.

Therefore, the statement that best describes the number 0.56 in the equation is the estimated increase in the average number of students per classroom each year.

ANSWER:

C) The estimated increase in the average number of students per classroom each year.