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.

Step-by-step 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

£56

step-by-step explanation:

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺