Jadabox203
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Carole compared function 1, y = 4x + 5, to function 2, a linear function that goes through the points shown in the table.


x y
2 12
4 24
6 36
8 48

Which function has the greater rate of change, and what is its rate of change?

A.
Function 1 has the greater rate of change, and its rate of change is 4.

B.
Function 1 has the greater rate of change, and its rate of change is 6.

C.
Function 2 has the greater rate of change, and its rate of change is 4.

D.
Function 2 has the greater rate of change, and its rate of change is 6.

Respuesta :

sqdancefan

Answer:

  D.  Function 2 has the greater rate of change, and its rate of change is 6.

Step-by-step explanation:

The rate of change of function 1 is the coefficient of x: 4.

The rate of change of function 2 can be found from the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (24 -12)/(4 -2) = 12/2 = 6

The rate of change of function 2 is 6, which is greater than that of function 1.