The two representative points for the first half of a data in a data set are (1,10) and (8,2). create a data set with at least eight points that fits these representative points and find the line of best fit for the data.

line : 8x+7y=78.

points: (0 , 78/7) ,

(78/8 , 0) ,

(2 , 62/7) ,etc.

Step-by-step explanation:

is :

7y-70=-8x+8\\8x+7y=78" alt="y-10=(\frac{-8}{7} )*(x-1)" />

7y-70=-8x+8\\8x+7y=78" />

( for easier way fix some value for x and substitute it in the above line equation then find corresponding y value. these x & y values will make a point. for more points , keep changing the values of x and find corresponding y values)

(78/8 , 0) ,

(2 , 62/7) ,etc.

thats not a system of equations, that is a solution

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 ☺