Lenny and thad spend a certain amount of money from their money box each month to buy comic books. the table shows the relationship between the amount of money (y) remaining in lenny's money box and the number of months (x): function 1 number of months (x) amount remaining (in dollars) (y) 1 75 2 60 3 45 4 30 the equation shows the relationship between the amount of money (y) remaining in thad's money box and the number of months (x): function 2: y = −12x + 80 which statement explains which function shows a greater rate of change? function 2 shows a greater rate of change, because lenny spends $15 each month and thad spends $12 each month. function 2 shows a greater rate of change, because lenny spends $75 each month and thad spends $12 each month. function 1 shows a greater rate of change, because lenny spends $15 each month and thad spends $12 each month. function 1 shows a greater rate of change, because lenny spends $15 each month and thad spends $80 each month.

Function 1 shows a greater rate of change, because Lenny spends $15 each month and Thad spends $12 each month.

Step-by-step explanation:

Function 1:

(x)Amount Remaining (in dollars) (y)

1                         75

2                    60  

3                    45

4                    30

Now to find the  the equation shows the relationship between the amount of money (y) remaining in Thad's money box and the number of months (x) we will use two point slope form

Two point slope form :  ---A

Substitute the values in A

General equation of line : -- B

Where m is the rate of change  

So, Function 1:    

Comparing with B

m = -15

y = remaining amount

x = no. of months

So, In function (1) $15 is spent per month

Function 2:    

Comparing with B

m = -12

So, In function (2) $12 is spent per month

Thus Function 1 shows a greater rate of change, because Lenny spends $15 each month and Thad spends $12 each month.

Hence Option C is correct.

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week