Tom and Jack spend a certain amount of money from their accounts each week at a pet shelter. The table shows the relationship between the amount of money (y) remaining in Toms account and the number of weeks (x) Function 1: Number of Weeks Amount Remaining (dollars)
(x) (y)
1 60
2 53
3 46
4 39

The equation shows the relationship between the amount of money, y, remaining in Jack's account and the number of weeks, X
Function 2:
y = -8x + 60
Which statements states and explains which function shows a greater rate of change?

A) Function 1, because Tom spends $7 each week and Jack spends -$8 each week

B) Function 1, because Tom spends $21 each week and Jack spends $52 each week

C) Function 2. because Jack spends 560 each week and Tom spends $21 each week

D) Function 2. because Jack spends $8 each week and Tom spends S7 each week

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40

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 ☺