Grace borrowed $92 from her father. She already paid back $12. She will pay him another $16 on Monday and then make equal payments of $4 until the rest of the money has been repaid. The
expression below can be used to find the number of equal payments Gracie will need to make in
order to repay the money.
92 − (12 + 16)
___
4
How many equal payments will Gracie need to make in order to repay the money?

A 24
B 16
C 5
D 27

16

Step-by-step explanation:

First, you need to do 12+16, which gives you 28. Next, you need to do 92-28, which gives you 64, then divide that by 4 and you get 16.

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 ☺