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?

Answer 1

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

Explanation:

I took the test

Answer 2

Function 2 has a greater rate of change

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