Chapter 3.1(b) Graphing Equations.notebook

1

October 05, 2016

Sep 16­8:04 AM

Bellwork:

1) 2) 3)

4) Are the following points a solution the equation:

y = ­2x + 7; (1, 5), (­2, 3)

Sep 16­8:07 AM

Homework Questions???

Sep 16­7:48 AM

Chapter 3.1(b) Graphing Equations

Graph linear and nonlinear equations. Use a graph to solve problems.

Sep 16­7:49 AM

1) Graph the equation 4x ­ y = 7 by using a table of ordered pairs.x y 4x ­ y = 7

We only need two points to form a line but we use the third as a way to check our work and to check that the equation is linear.

Sep 16­7:50 AM

What about graphing non­linear equations?

When graphing non­linear equations we need to find more then 3 points; we will need at least 5 and sometimes more to see the pattern.

2) Graph y = ­x2

x y

Sep 16­7:51 AM

3) Make a table and graph

x y

Chapter 3.1(b) Graphing Equations.notebook

2

October 05, 2016

Sep 16­7:51 AM

4) Make a table and graph y = x2 + 3

x y

Sep 16­7:51 AM

5) Make a table and graph y = x ­ 1

x y

Sep 16­7:51 AM

What is the difference between graphing a linear equation and an non­linear equation?

Sep 16­7:53 AM

We can use equations to help make sense of real­world situations.

Your pay is $3000 plus 20% or 1/5 of the price of the products you sell. If we let x represent products sold and y represent monthly salary, the linear equation that models your salary is:

y = 3000 + 1/5x

Use the following graph to answer the questions.

a. If the salesperson sells $7000 of products for a particular month, what is the salary?

b. Find the total amount of products needed to be sold to make more than $4000 per month.

2000 4000 6000 8000 10000 12000 14000

3000

3400

3800

4200

4600

5000

5400

5800

c. If the salesperson sells $6000 of products for a particular month, what is the salary?

b. Find the total amount of products needed to be sold to make more than $5400 per month.

Products Sold ($)

Monthly Salary ($)

Sep 16­7:55 AM

Homework

P. 127­128 #33­53 (odds), 77­80 (all)

Sep 29­7:51 AM