Modeling with Systems of Linear Inequalities

Question 1

Which are possible solutions for the number of minutes Joshua can participate in each activity? Check all that apply.

Revolt · Accepted Answer

D: 50 minutes walking, 50 minutes basketball; F: 70 minutes walking, 60 minutes basketball

Question 2

Which amounts of materials satisfy the relationship?

Revolt · Accepted Answer

C: 1 cubic yard of compost, 12 cubic yards of topsoil

Question 3

In which section of the graph does the actual solution lie?

Revolt · Accepted Answer

A: 1

Question 4

Anna is no more than 3 years older than 2 times Jamie’s age. Jamie is at least 14 and Anna is at most 35. Which system of linear inequalities can be used to find the possible ages of Anna, a, and Jamie, j?

Revolt · Accepted Answer

B: a ≤ 3 + 2j; j ≥ 14, a ≤ 35

Question 5

School rules permit no fewer than 2 teachers per 25 students. There are at least 245 students enrolled in the school. If x represent teachers and y represents students, which system of linear inequalities can be used to determine the possible number of teachers and students at the school?

Revolt · Accepted Answer

B: 2y ≤ 25x and y ≥ 245

Question 6

As a computer technician, Andre makes $20 per hour to diagnose a problem and $25 per hour to fix a problem. He works fewer than 10 hours per week, but wants to make at least $200 per week. The inequalities 20x + 25y ≥ 200 andx + y < 10 represent the situation. Which is true of the graph of the solution set? Check all that apply.The line 20x + 25y ≥ 200 has a positive slope and a negative y-intercept.The line x + y < 10 has a negative slope and a positive y-intercept.The line representing 20x + 25y ≥ 200 is solid and the graph is shaded above the line.The line representing x + y < 10 is dashed and the graph is shaded above the line.The overlapping region contains the point (4, 5).

Revolt · Accepted Answer

B: The line x + y < 10 has a negative slope and a positive y-intercept.; C: The line representing 20x + 25y ≥ 200 is solid and the graph is shaded above the line.; E: The overlapping region contains the point (4, 5).

Question 7

Members of a school club are buying matching shirts. They know at least 25 members will get a shirt. Long-sleeved shirts are $10 each and short-sleeved shirts are $5 each. The club can spend no more than $165. What are the minimum and maximum numbers of long-sleeved shirts that can be purchased?

Revolt · Accepted Answer

: 0; : 8

Question 8

Members of a school club are buying matching shirts. They know at least 25 members will get a shirt. Long-sleeved shirts are $10 each and short-sleeved shirts are $5 each. The club can spend no more than $165. What are the minimum and maximum numbers of long-sleeved shirts that can be purchased?

Revolt · Accepted Answer

: 76228; : 8

Question 9

The sum of two positive integers, x and y, is not more than 40. The difference of the two integers is at least 20. Chaneece chooses x as the larger number and uses the inequalities y ≤ 40 – x and y ≤ x – 20 to determine the possible solutions. She determines that x must be between 0 and 10 and y must be between 20 and 40. Determine if Chaneece found the correct solution. If not, state the correct solution.

Revolt · Accepted Answer

B: No, Chaneece mixed up the variables. The correct solution is that x must be between 20 and 40 and y must be between 0 and 10.

Question 10

Question 10

Revolt · Accepted Answer

8

Modeling with Systems of Linear Inequalities Answers

More from this Course

TRY EDGENUITY HACKS