Analyzing Inequality Graphs

The Department of Local Renewal is trying to balance what it can reasonably accomplish between time spent on planning (x) and time spent on labor (y) using the graph. The x-intercept for this graph is​ (a)   , while the y-intercept for the graph is ​ (b)   .

• x=6
• y=4
• x=4
• y=6
• x=12
• x=2
• y=12
• y=2

Tags

CCSS.HSF-IF.C.7A

They want to be able to model the relationship between the number of people it takes to reasonably accomplish a task if there is only 12 hours of time available in a week. The correct equation for this inequality is​ (a)  

• 2x + 3y < 12
• 2x + 3y > 12
• 2x + 3y ≥ 12
• 2x + 3y ≤ 12

Tags

CCSS.HSA.REI.D.12

• The number of hours needed to complete the task
• The number of people they have total
• The number of hours they have total
• The number of people needed for that task per hour

Tags

CCSS.HSF.LE.B.5

Someone logged volunteer hours, but didn't include what activity the volunteers were working on. Each activity is mapped by a given inequality. Match the activity inequality to its volunteer hours solution.

• (0,4)

• 2x + y < 4

• (1,1)

• 4x - 2y ≥ 15

• (3,-2)

• x - y ≤ -4

• (4,2)

• x + 3y > 9

Tags

CCSS.HSA.REI.D.12

Tags

CCSS.HSA.REI.D.12

Groups:

(a) Feasible

,

(b) Unfeasible

• (5,1)

• (3,4)

• (2,4)

• (0,3)

• (2,6)

• (5,2)

• (2,2)

• (9,0)

• (-1,7)

• (1,0)

Which of the following models the situation "we need at least 10 volunteers to split between cleaning up the vacant lot and picking up materials"?

Tags

CCSS.HSA.REI.D.12

Tags

CCSS.HSA.REI.D.12