Lei presold 323232 carnations for a fundraiser, then she sold ccc more carnations on the day of the fundraiser. She earned 0.250.250, point, 25 dollars for each carnation she sold.
The expression 8+ 0.25c8+0.25c8, plus, 0, point, 25, c describes how much money Lei earned for the fundraiser. We can also use the expression 0.25(32+c)0.25(32+c)0, point, 25, left parenthesis, 32, plus, c, right parenthesis to represent the same quantity.
Match each amount in the situation with the expression that represents it.

b

step-by-step explanation:

the word superfluous means unnecessary

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