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 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

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".