The table shows the participation in a school's debate club during the last four years. Year 1 2 3 4
Students 14 19 25 33

Between which two years did the club see the greatest growth? By what percent did it grow?
A. The greatest growth was between years 3 and 4. The growth between those years was about 32%.
B. The greatest growth was between years 1 and 2. The growth between those years was about 5%.
C. The greatest growth was between years 3 and 4. The growth between those years was about 8%.
D. The greatest growth was between years 1 and 2. The growth between those years was about 36%.

D

Step-by-step explanation:

19 - 14 = 5 / 14 x 100 = 35.714 > 36%

The other values by calculating the percent increase were

(from 2-3) = 31.57%

(from 3-4) = 32%

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be