Question

Need help quick!!!!! 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? (1 point)


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

Answer: its C

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

:

Answer 2

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

Explanation:

Function 1 shows a rate of change of using two points

(x1, y1) = (40,1)

(x2,y2) = (36,2)

m = (y2-y1)/(x2-x1) = (36-40)/(2-1) = -4

The rate of change is decreasing or spending at $4 per week

Function 2 shows an equation y=mx+b; where m is the slope or the rate of change

m=-5

The rate of change is decreasing or spending at $5 per week