Question

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. Explain the meaning of the number 0.56 in the equation.

Answer 1

Explanation:

Given that the average number of student per classroom in a High School between 2000 and 2010 is modeled with a straight line equation

y = 0.56x + 27.2

x represents years from 2000

And y represents average student per class

From straight line equation,

We know that

y = mx + c

So, m is the slope and c is the intercept on y axis

So, comparing the equation of the line to the given model

We found out that

m = 0.56

So, the slope means the rate at which y is increasing with respect to x

m = ∆y/∆x,

So, this implies that, 0.56 is the average rate of student per class room. So,an average of 0.56 students per class room per year.

So, an average increase of 0.56 students per year, each year their will be an increase of an average of 0.56 student per classroom