Guy's greenery and luscious lawns both charge customers a flat fee plus an hourly rate for yard work. the function g(x) represents the cost for x hours of yard work by guy's greenery, and the function l(x) represents the cost of x hours of yard work by luscious lawns. g(x) l(x) 260 56 72 72 84 6 88 a. guy's greenery charges a flat fee of $48, and luscious lawns charges a flat fee of $40. write a system of linear functions to represent this situation.

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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

first one because it can't have a fraction in it

step-by-step explanation:

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step-by-step explanation: