Evan earns $12 an hour plus $15 an hour for every hour of overtime. overtime hours are any hours more than 30 hours for the week. part a: create an equation that shows the amount of money earned, m, for working x hours in a week when there is no overtime. (3 points) part b: create an equation that shows the amount of wages earned, t, for working y hours of overtime. hint: remember to include in the equation the amount earned from working 30 hours. (3 points) part c: evan earned $510 in 1 week. how many hours (regular plus overtime) did he work? show your work. (4 points)

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

i think it might be a but you might want a second opinion