Linear Inequalities in Context

Algebra I/A.EI.2d,e

Learning Intention #3
Success Criteria #2

Linear Inequalities in Context

What Are We Doing Today?

SOL A.EI.2a,h

Learning Intention: I can graph a linear inequality

Success Criteria: Given a contextual situation, I can create an
appropriate linear inequality and determine possible solutions on Exit
Ticket: Graphing and Solving Linear Inequalities In Context

Steps:

Read the problem

Annotate

Create “let”
statements

Graph and solve

1. As part of a landscaping project, Mr. Stone is purchasing plants from a garden center. It will cost $36 to buy a mature tree, and $8 for a young one. His target is to keep the cost under $1,400. if x-represent the number of mature tree and y the number of young tree.

Watch Me

​A Write and graph a linear inequality that represents this situation.

solution:

Find the possible solution:

2. An export company is reserving some containers to ship cargo overseas, and the expense must be under $69,000. A standard container costs $1,300 and a large container costs $3,30. if x-represents a number of standard container and y the number of large container.

A Write and graph a linear inequality that represents this situation.

Solution:


Possible solutions:

With a
Partner

3. The students at Brookfield High School are selling candles and scented soaps to raise money for a new computer lab. They will earn $9 for every candle they sell. Each bar of soap they sell will earn them $1. They need to raise a minimum of $920 to have enough money to finish construction of the computer lab. if x represent number of candles and y the number of scented soap.

With a
Partner

​A Write and graph a linear inequality that represents this situation.

solution:


Find the possible solutions:

4. The band teacher promises his class a pizza party if, during the fall fundraiser, they exceed the fundraising goal of $1,100. The students make $1 for each candy bar sold and $4 for each box of cookies. if x represent the number of candy bars and y the number of boxes of cookies,

With a
Partner

​A Write and graph a linear inequality that represents this situation.

solution:


Find the possible number of items they need in order to exceed the goal.

5. A bakery makes two types of cakes: chocolate cakes and vanilla cakes. Each
chocolate cake requires 2 cups of flour and 1 cup of sugar. Each vanilla cake requires
1 cup of flour and 2 cups of sugar. The bakery has a maximum of 10 cups of flour and
8 cups of sugar available each day

On Your Own

​A Write and graph a linear inequality that represents this situation.
Solution

Let: x be the number of chocolate cakes and y be the number of vanilla cakes

Flour: 2x+y≤ 10

Sugar: x+2y≤8

6. A concert venue sells VIP tickets for $50 each and regular tickets for $30
each. The venue can accommodate no more than 200 people and must earn at
least $6000 from ticket sales. Let x be the number of VIP tickets sold and y be
the number of regular tickets sold.

On Your Own

​solutions:
x+y≤ 200
50x+30y≥6000

Closure

SOL A.EI.2a,h

Learning Intention: I can graph a linear inequality

Success Criteria: Given a contextual situation, I can create an
appropriate linear inequality and determine possible solutions on Exit Ticket: Graphing and Solving Linear Inequalities In Context