Use the graph below to answer the following question:

what is the average rate of change from x = 1 to x = 4?

a) –3
b) –1
c) 1
d) 3

OPTION B

Step-by-step explanation:

As you can see in the graph, when x=1, y=3 and when x=4, y=0

Then, draw a line that cut the points (1,3) and (4,0), as you can see in the image attached, and calculate the slope (which represents the average rate of change of the function), with the following formula:

Therefore, the aswer is the option B.

man its nopq i just guessed and got it right so uhh

g00d lucc

step-by-step explanation:

(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