90 points will give brainliest! i need only with part b, of the question:

the director of a local ballet company needs to print the programs for the next performance. janet’s print shop charges $0.25 per program plus a $35 set-up fee. the printing press charges $0.15 per program plus a $50 set-up fee.

a. which printing company offers the better deal if 200 programs are printed? explain your reasoning.
b. find the number of programs for which the total costs are the same. explain how you determined the number of programs.

For this case we find the expression that represents the cost of each printing press.

x: Be the variable that represents the number of programs to print

So:

Cost 1: Janet’s Print Shop

Cost 2: The Printing Press

If we want to find the number of programs for which the costs are the same, then we equate both equations:

Thus, for 150 programs the cost is the same.

For 150 programs the cost is the same.

Step-by-step explanation:

the range of a function is the range of y-values for which it is defined, or exists. given that we are only looking at the y-values, we can already discount the first two answers as they deal with the domain of the function (range of x-values).

now, what we need to do is find the smallest and highest y-values for which the function is defined. if you'd like, you could take a ruler and start at the very bottom of the graph, find the lowest point, then move the ruler higher and higher until you reach the highest point. doing so either in your head or with an actual ruler, we can see that the lowest y-value is -5 and the highest y-value is -1.

the question now remains as to whether they are included in the range (fourth answer) or excluded (third answer). the key here is to recognise whether they are marked with an open or a closed circle. since both (-2, -5) and (2, -1) are marked with a closed circle, they are points that exist on the graph and are thus included in the range (note that if they were marked with an open circle like (4, -2) then that would signify that there is a break in the graph at that point).

thus, the fourth answer, (y | -5 ≤ y ≤ -1), is correct.

also note that usually it is good practice to scan your eye inbetween the highest and lowest point for any breaks in the graph - we do have one here at (4, -2), however -2 is still included in the range because there is another point that is included in the graph with the same y-value, ie. point (1, -2).

i hope that but if you require any further explanation don't hesitate to comment below.

the solution is 12x-6y