Chapter 3: Linear Functions

Lesson 3: Linear Combination Situations

Mrs. Parziale

Linear Combination:

All variables are to the

power and they are not

or by each other.

Linear Combination:

All variables are to the

power and they are not

or by each other.

first

divided

multiplied

Examples:

1) 3x + 3y

2) 2d = 3c -5

3) 4P + 3Q - 6R = 5

Discrete Domain:Discrete Domain:

A discrete graph is made up of a series

of points.unconnected

Pepper sold $36 worth of tickets for the Pep Club Picnic. Adult tickets cost $5 and student tickets cost $2 There is no charge for children under 6 years of age.

a) Write an equation between the number of adult tickets A and the student tickets S, and the children's tickets C that Pepper sold.

b) Make a table and graph of all possible (S,A) that could have occurred.

S

A

b) Make a table and graph of all possible (S,A) that could have occurred.

S

A

A lawn maintenance worker combines two kinds of solutions, each a mixture of weed killer and water. Mixture A is 5% weed killer and mixture B is 15% weed killer. All mixtures are measured by the ounce.

Continuous Domain:

1) How many ounces of weed killer are in the 5% solution?

2) How many ounces of weed killer are in the 15% solution?

3) How many total ounces are there in the combination?

4) Write an equation relating A, B and the total amount T of weed killer.

.05A + .15B = T

5) How many ounces of 5% solution must be added to 50 ounces of 15% solution to get 12 ounces of weed killer in the final solution?

7) Draw a graph to illustrate all possible (A,B) that give 12 ounces of weed killer in the final mixture .

.05A + .15B = 12

7) Draw a graph to illustrate all possible (A,B) that give 12 ounces of weed killer in the final mixture .

.05A + .15B = 12

Is this graph discrete Is this graph discrete or continuous?or continuous?Is this graph discrete Is this graph discrete or continuous?or continuous?