The spring musical at Houston High School cost $1,845 to produce. They have made $1,550 from ticket sales and plan to sell concessions for $1.50 each to make up the difference. Which of the following
inequalities could be used to determine the number of concessions (c) they will need to sell in order to
make a profit (where the earnings are greater than or equal to the costs)?
A 1,550 + 1.50C <1,845
B 1,550 < 1.50C + 1,845
C 1,550 + 1.500 > 1,845
D 1,550 > 1.50C + 1,845

50- 250 is correct i did that one too

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)