Question

Ada and Steve 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 Ada's account and the number of weeks (x):

Function 1:

Number of Weeks
(x) Amount Remaining (dollars)
(y)
1 40
2 36
3 32
4 28

The equation shows the relationship between the amount of money, y, remaining in Steve's account and the number of weeks, x:

Function 2:

y = –5x + 40

Which statement explains which function shows a greater rate of change?
Function 1, because Ada spends $4 each week and Steve spends –$5 each week

Function 1, because Ada spends $12 each week and Steve spends $35 each week

Function 2, because Steve spends $5 each week and Ada spends $4 each week

Function 2, because Steve spends $40 each week and Ada spends $12 each week

Answer 1

Heres the chart...

Answer 2

Table I should say...(:

Answer 3

hint: what is the slope of y = -5x + 40?

Answer 4

My problem is I don't know what x is, when i tried plugging in the numbers for the equation. I just confused myself even more.

Answer 5

x is the number of weeks (you don't need to plug in anything to find the slope of the equation though)

for an equation written in y = mx + b form, m is the slope

so for y = -5x + 40 what number is the slope?

Answer 6

Umm... X.

Answer 7

Oh... its the number before x sorry

Answer 8

good, so the slope is -5 meaning steve spends 5 dollars a week, meaning c is the only possibility

Answer 9

That was much easier than I thought. Thank You!(: