Question

The coordinate plane below represents a city. Points A through F are schools in the city.

Part A: Using the graph above, create a system of inequalities that only contain points B and C in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above.

Part B: Explain how to verify that the points B and C are solutions to the system of inequalities created in Part A.

Part C: Lisa can only attend a school in her designated zone. Lisa's zone is defined by y > 2x + 5. Explain how you can identify the schools that Lisa is allowed to attend.

Answer 1

I'm doing that same exam right now.

Answer 2

really can you help??

Answer 3

That's what was just going to ask you I'm not sure but I am working on it.

Answer 4

Where is the shaded region?

Answer 5

i have no idea. i guess its F it looks shaded or maybe the negative is the shaded.

Answer 6

No it should be an obvious shaded region

Answer 7

it should be noticeable in the problem. This is all the information you have?

Answer 8

yes it is

Answer 9

Ok I may have an idea then

Answer 10

i guess from the way the question sounds b and c are the shaded regions

Answer 11

what's your idea?

Answer 12

I'm not sure now. I think it wants to only include the first quadrant within the cartesian. Which would be x>0, y > 0. I'm not sure how else you would do it (part A)

Answer 13

do you have an answer bank? There could be many ways to do this.

Answer 14

yes i have a blank answer

Answer 15

ok so you cannot choose from a list?

Answer 16

nope

Answer 17

Part B the region should be shaded for all positive values of x and y

Answer 18

okay

Answer 19

For part C she must attend schools D and E

Answer 20

This is because you know the y-intercept must be at 5 and the slope is 2 according to the inequality y > 2x+5

Answer 21

oh okay thank you so much!!

Answer 22

Since y is greater than, that means that the region is shaded where the values are above the line (regions D and E)

Answer 23

You can make up an equality for A and B like part C

Answer 24

inequality*

Answer 25

for example you could use the same inequality as part C with a slope of -2 and a < sign which works for points A and B

Answer 26

so part A I could make up the inequality y<-2x+5

Answer 27

Cool that works

Answer 28

Yeah it is somewhat of a weird question(s) but I think that will work for what it is asking

Answer 29

It really was, i mean no one could answer it.

Answer 30

was that answer correct? @meilendurcer