Write a mathematical scenario to describe each of the scatter plots. A scatter plot with marks on the x-axis from 2 to 8 and marks on the y-axis from 10 to 20 with the interval of 2 for both. The plots are represented at 2,10; 3, 11; 3,12; 4,13; 5,15; 6,16; 7,17; 7,18; 8,20; 8,21; 10, 18; and 10,20. A scatter plot with marks on the x-axis from 2 to 8 and marks on the y-axis from 12 to 22 with the interval of 2 for both. The plots are represented at 2,20; 2,22; 3,19; 4,17; 4,19; 5,16; 5,17; 6,15; 6,18; 7,13; 8,12; 8,14; 8,15; 10,10; and 10,14.

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 ☺