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.

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

f is the midpoint of