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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?

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Answer:

Function 2 has a greater rate of change

Step-by-step explanation:

Function 1:

Number of Weeks (x)               1     2      3     4

Amount Remaining (dollars) (y) 40   36    32   28

We can find the slope by using

m = (y2-y1)/ (x2-x1)

  = (40-36)/ (1-2)

  = 4/-1

 = -4


Function 2:

y = −5x + 40


Using y = mx+b

The slope is -5


Function 2 has a greater rate of change

Answer:

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

Step-by-step explanation:

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