Question

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

graph of coordinate plane. Point A is at negative 3, negative 4. Point B is at negative 4, 3. Point C is at 2, 2. Point D is at 1, negative 2. Point E is at 5, negative 4. Point F is at 3, 4.

Part A: Using the graph above, create a system of inequalities that only contains points C and F in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. (5 points)

Part B: Explain how to verify that the points C and F are solutions to the system of inequalities created in Part A. (3 points)

Part C: Natalie can only attend a school in her designated zone. Natalie's zone is defined by y < −2x + 2. Explain how you can identify the schools that Natalie is allowed to attend. (2 points)

Answer 1

@Vocaloid

Answer 2

well the first step would be to try and plot those points on a graph, then draw two lines that will isolate C and F from the others

Answer 3

i think i have the system of inequalities part

Answer 4

i have the graph

Answer 5

oh alright

then for part B you would plug in the x-values from points C and F into the inequalities and then see if the inequalities are still true

Answer 6

http://prntscr.com/fw24w4

Answer 7

could the inequalities be y≥1/2x and y ≤2x

Answer 8

yeah that's correct (just had to double check)

Answer 9

yay

Answer 10

oh and also

Answer 11

for part a it says explain how the lines will be graphed and shaded on the plane above how would i explain that

Answer 12

since you have
y≥1/2x and y ≤2x

you would use solid lines for each equation, then based on the direction of the inequality

shade above y = 1/2x and shade below y = 2x

Answer 13

OHHHHH

Answer 14

i gotchu now thank you

Answer 15

then for part C you would graph
y < −2x + 2 by first graphing the equation y = -2x + 2 with a dashed line, shade below it, then identify which points are within the shaded region

Answer 16

ohhh okay thank you!

Answer 17

wait wdym which points?

Answer 18

so part C is asking about which schools are within Natalie's zone, once you have the shaded region you will identify which of the blue points A, B, C, D, E, or F are within the zone

Answer 19

ohhhhh oml im silly thank you so much!!!!!!

Answer 20

i got a, b, d btw

Answer 21

good