Katy wants to enroll in art school. School A charges a monthly charge of $17.50 and a one-time enrollment fee of $55. Schoc B charges a monthly charge of $12.50 and a one-time enrollment fee of $95. Which Inequality can be used to find x, the
maximum number of months Katy is enrolled so that the total charge of School A is less than the total charge of School B?
A
17.5x + 55 < 12.5x + 95
B
17.5x + 55 > 12.5x + 95
с
17.5x + 95 < 12.5x + 55
D
17.5x - 55 < 12.5x - 95

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

you would need to also lose 1 point for each of the other outcomes for it to be fair.

step-by-step explanation:

step-by-step explanation:

*calories burned = (weight)(calorie factor)*

calories burned = 180 (0.65)

calories burned = 117

the calories he used up is 117, which is 65% of his weight.