system of inequalities (10/21)

Luka and Dana are making cookies for the Westland Pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?

• x + y ≥ 6

  32x + 20y ≤ 150

• x + y ≥ 632

  x + 20y ≥ 150

• x + y ≤ 6

  32x + 20y ≥ 150

Kate is selling bracelets and earrings on Etsy to make money for summer vacation. The bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can only make up to 40 pieces of jewelry. Which inequalities represent this situation?

• 2x + 3y > 100

  x + y ≤ 40

• 100x + 2y > 3

  x + y ≤ 40

• 3x + 2y > 100

  x + y ≤ 40

Write the system of inequalities
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing

• x+y≤300
  7.5x+5.5y≥2000
• x+y≤300
  7.5x+5.5y≤2000

Determine how many solutions this system has.

• One Solution
• No solution
• Infinitely Many Solutions
• What is a solution?

Solve the following system by using elimination:

3x - 5y = 8

2x + 5y = -3

• (1, 5)

• (1, -1)

• (-1, -1)

Solve the following system by using elimination:

-14x - 10y = -18

7x + 9y = -23

• (7, 8)

• (8, -7)

• (7, -8)

Solve using Elimination. 
 4x + 8y =  20
-4x + 2y = -30

• (-7,1)
• (2,-5)
• (-2,5)
• (7,-1)

These two lines intersect at _____.

• (4, -2)
• (4, 2)
• (-2, 4) 
• No solution

Write the equation in slope-intercept form:
-3y + 5x = 12

• y = -4 + 5x
• y = -4 + 5/3x
• y = 4 - 5/3x
• y = 12 + 5x

How are you?

• I am bad

• I'm okay

• I feel sad

• I am bored