Area and Linear

Which of the following equations match the given graph?

• y  < 2/5x + 1

• y ≥ -2/5x + 1

• y ≤  2/5x + 1

• y ≥ -2/5x - 1

Which point is not a solution?

• (1, 3)

• (-1, 2)

• (3, -2)

• (5, 0)

Which point is a solution?

• (0, 6)

• (-3, 4)

• (1, 0)

• (-4, 3)

Match, the solutions is the purple area

• y > -4/5x - 1 and y ≤ 2/3x + 3

• y ≥ -4/5x - 1 and y ≤ 2/3x + 3

• y < -4/5x - 1 and y < 2/3x + 3

• y < -4/5x - 1 and y ≥ 2/3x + 3

Match

• y ≥ -x - 1 and y < x + 4

• y < -x - 1 and y > x + 4

• y > -x - 1 and y ≥ x + 4

• y < -x - 1 and y ≥ x + 4

The members of a new band want to spend no more than $75 for at least 60 fliers to advertise their upcoming concert.  The cost color fliers is $1.50 each, the cost of black and white fliers is $0.75 each. Which of the following combinations is a reasonable solution?

• 26 color, 30 black and white

• 30 color, 35 black and white

• 60 color

• 30 color, 50 black and white

Which system of inequality is shown?

• y ≥ -x - 1
  y < x + 4

• y < -x - 1
   y ≥ x + 4

• y > -x - 1
  y ≥ x + 4

• y > -x - 1
  y ≥ x + 4

The graph of 
y ≥  x - 3 
is shaded ???

• Over / Above

• Under / Below

Find the values of x and y that maximize the objective function P = 3x + 2y for the graph. What is the maximum value?
   

• maximum value at (5, 4); 32

• maximum value at (0, 8); 16

• maximum value at (9, 0); 27

• maximum value at (0, 0); 0

A farmer can plant up to 6 acres of land with soybeans and corn. Her use of a necessary pesticide is limited by federal regulations to 15 gallons for her entire 6 acres. Soybeans require 2 gallons of pesticide for every acre planted and corn requires 3 gallons per acre. The profit the farmer makes by earning $4,000 for every acre of soybeans she plants and $3,000 for every acre she plants with barley can be modeled by P=4000x+3000y . If x represents acres of soybeans and y represents acres of corns, which inequalities represent the possible solutions to her situation?

• x≥0

  y≥0

  x+y≥6

  3x+2y≥15

• x≥0

  y≥0

  x+y≤6

  2x+3y≤15

• x≥0

  y≥0

  4000x+y≤6

  2x+600y≤15

• P=4000x+3000y