Enhanced Algebra and Connections

Lennox plans to earn at least $240 babysitting and mowing lawsn this summer. She will charge $4 per hour babysitting and $3 per hour mosing lawns. She would like to work a maximum of 50 hours this summer. She wrote the following system of linear inequalities to determine combinations of jobs she can do. Let x = the number of hours spent babysitting, and y = the number of hours spent mowing lawns. 12x + 11y ≥ 300 x+y≤50 Select the choice that will earn her at least $240, but will not require more than 50 hours per week.

• 20 hours of babysitting and 50 hours of mowing lawns

• 30 hours of babysitting and 40 hours of mowing lawns

• 20 hours of babysitting and 20 hours of mowing lawns

• 10 hours of babysitting and 10 hours of mowing lawns

• 30 hours of babysitting and 10 hours of mowing lawns

• (3, -2)

• (-6, 0)

• (5, 6)

• (-2, 4)

A moving truck rental company A charges $40 per day plus 20 cents per mile driven. Company B charges $25 per day plus 50 cents per mile driven. When will moving truck rental company A be cheaper than moving truck rental company B for a one-day rental?

• With a one-day rental, if you drive more than 50 miles, then moving rental company A will be cheaper than company B.

• With a one-day rental, if you drive more than 100 miles, then moving rental company A will be cheaper than company B.

• With a one-day rental, if you drive more than 150 miles, then moving rental company A will be cheaper than company B.

• With a one-day rental, if you drive more than 175 miles, then moving rental company A will be cheaper than company B.

Shawn has budgeted $400 to purchase iTune cards and video games. Each iTune card costs $10, and the price for each video game is $40. Shawn purchases 8 iTunes cards. What is the maximum number of video games that she can purchase and stay within her budget?

• 4

• 6

• 8

• 10

What would be the correct first step to solving the following system using elimination?

• Multiplying the first equation by -5

• Multiplying the second equation by 5

• Graphing the two equations

• Solving the second equation for y

Consider the Linear System: 2x - 3y = 8 x + 2y = 18 To solve this system by substitution, which expression could be substituted for x?

• 2y + 18

• -2y + 18

• 2y - 18

• -2y - 18

Amy bought 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam bought 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of one pack of sugar cookies?

• $5 
  

• $4

• $6

• $8
  

Given the following system, which THREE statements are true?
-9x - 4y = -20
5x + 4y = 4

• The system has one solution

• The system has no solutions

• The point (4,-4) is the only solution

• The point of intersection is the solution

• Any point on either line is a solution

Determine the equation of a line perpendicular to -5x + y = -2 passing through the point (0, -3).

• y = 5x - 3

• y = -1/5x - 3

• y = -5x - 2

• y = 1/5x - 3

Elijah has a part-time job at a restaurant, working 15 or fewer hours each week. He spends some of his time washing dishes and some of his time doing prep work in the kitchen. He is paid $5.50 per hour for washing dishes and $8.00 per hour for prep work. Elijah wants to earn at least $100 per week.
Select the hotspot(s) that respresent the solution.

Hint: Remember the Constraints.

Tags

A.PAR.4.3