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You can graph an inequality in two variables. PowerPoint Presentation
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You can graph an inequality in two variables.

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You can graph an inequality in two variables. - PowerPoint PPT Presentation


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How do you model a problem in which you have two or more variables that must total less than a specific amount?. For example, how can you find how many of each type of stamp you need on a package that requires an exact amount of postage?.

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PowerPoint Slideshow about 'You can graph an inequality in two variables.' - karina-baldwin


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Presentation Transcript
slide1
How do you model a problem in which you have two or more variables that must total less than a specific amount?

For example, how can you find how many of each type of stamp you need on a package that requires an exact amount of postage?

slide2

In this lesson you will learn how to represent solutions and constraints to linear inequalities by graphing.

slide4

Not accounting for a constraint

Can’t I just keep adding stamps until I have enough money?

If you only have certain kinds of stamps, you might pay too much!

slide5

You need $1.00 worth of postage to mail a package.

Entire book of $0.03 stamps but only four $0.32 stamps

How many of each type can you use?

slide6

(amount of money using $0.03 stamps)

(amount of money using $0.32 stamps)

+

≥ $1.00

$0.03(x) + $0.32(y) ≥ $1.00

slide7

$0.03(x) + $0.32(y) ≥ $1.00

Constraints:

1. Positive numbers only

2. Whole numbers

You will need at least 12 $0.03 stamps and 2 $0.32 stamps.

slide8

In this lesson you have learned how to represent solutions and constraints to linear inequalities by graphing.

slide9

Your school needs at least 35 students to help volunteer at a shelter downtown. Seven students can ride to the shelter in each van, and five students can ride in each car. Draw a graph showing all of the combinations of vans and cars possible for the problem.

slide11

Choose two types of fruit, such as strawberries and watermelon. Write an equation for and graph a linear inequality to show how much of each fruit you could buy without spending more than $10 total.

slide12

Draw a polygon on a coordinate plane. Write a series of linear inequalities that, graphed and shaded correctly, would result in the given polygon.

slide13

An air cargo plane can transport as many as 15 regular shipping containers. One super-sized container takes up the space of 3 regular containers. Write and graph a linear inequality to show this situation, and find two solutions to this problem.

slide14

Your school needs at least 35 students to help volunteer at a shelter downtown. Seven students can ride to the shelter in each van, and five students can ride in each car. Find the minimum number of cars needed if three vans are available.