Question

HELP

Answer 1

Sandra and Jenny spend a certain amount of money from their money box each month to buy plants. The table shows the relationship between the amount of money (y) remaining in Sandra's money box and the number of months (x):


Number of Months
(x)

Amount Remaining (dollars)
(y)

1

50

2

45

3

40

4

35



The equation shows the relationship between the amount of money, y, remaining in Jenny's money box and the number of months, x:

Function 2:
y = −6x + 50

Which statement explains which function shows a greater rate of change?
Function 2 shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.
Function 2 shows a greater rate of change because Jenny spends $50 each month and Sandra spends $15 each month.
Function 1 shows a greater rate of change because Sandra spends $15 each month and Jenny spends $44 each month.
Function 1 shows a greater rate of change because Sandra spends $5 each month and Jenny spends –$6 each month.

Answer 2

@phi

Answer 3

From the table, can you pick two (x, y) pairs ?

Answer 4

i did some math on papaer and i got that it was B

Answer 5

am i correct?

Answer 6

They are asking about
rate of change?

rate of change is the slope, the number in front of the x

the slope for function 2 is easy to find: find the number in front of the x in
y= -6x+50

but you need the slope for function 1
get 2 points i.e. (x,y) pairs
and find change in y divided by change in x

Answer 7

ohhh ok so its C

Answer 8

is it @phi

Answer 9

two points from the table are
(1,50) and (2,45)
what is the change in y? i.e. what is 45-50 ?

Answer 10

and what is the change in x: 2-1 = what ?

Answer 11

-5

Answer 12

1

Answer 13

and change in x is 2-1=1
so the slope is -5/1 or -5

function 1 has a slope (a rate of change) of -5
function 2 has a slope (i.e. rate of change) of -6

Answer 14

ignoring the minus sign (which means the change is going down)
the -6 is steeper (goes down faster ) than the -5

Answer 15

so whicjh answer choice would that be

Answer 16

so function 2 has more rate of change than function 1
which of the choices are possible answers?

Answer 17

a

Answer 18

just knowing function 2 has a greater rate of change means either
a or b

c or d say function 1 has a greater rate of change, and that is not correct.

Answer 19

but the answer is a because the rate is 6, and choice "a" says she spends 6

Answer 20

ohhhhh ok ty