Two functions, function a and function b, are shown below: function a: x y 7 21 8 24 9 27 function b: (graph attachment below) which statement best compares the rate of change of the two functions? a. the rate of change for both functions are 2 b. the rate of change for both functions are 3 c. the rate of change of function a is greater than the rate of change of function b d. the rate of change of function b is greater than the rate of change of function a

Answer is C.

Step-by-step explanation:

Rate of change of function A  is (24- 21)/ 1  = (17-24)/1 = 3.

Rate of change of function B = slope of the line = rise/run = 4/2

= 2

C. The rate of change of function A is greater than the rate of change of function B

Step-by-step explanation:

Given are two functions A and B.

A is given in table form and B in graph.

From the table for A we find that y =3x i.e. rate of change of y with respect to x =3

Table B graph shows the points as (2,4) (3,6) and (4,8) thus we find y =2x

Rate of change =2

C. The rate of change of function A is greater than the rate of change of function B

is correct.

step-by-step explanation: 4 cause 2+2=4

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1