Graphs
Tables
Equations
situations
Variables
100

Write an equation for the graph


y=-3/2x+3

100

Find the rate of change

Rate of Change =  change y/change x  =  

1/1=1

100

What is the rate of change of this equation:

y=2x-7

Rate of Change:2

100

You organize a garage sale. You have $30 at the beginning of the sale. You earn an average of $20 per hour. Write an equation that represents the amount of money y you have after x hours.

y = 20x + 30

100

Identify the slope and y-intercept of this equation:

y=-1/8x + 9

m= -1/8

b= 9

200

Write an equation


y=-2x+5

200

What is the y-intercept of this table?


(0,0)

200

What is the y-intercept of this equation?

y=25-5x

25
200

One of your friends gives you $10 for a charity walkathon. Another friend gives you $5 per mile. You also earn $1 per mile.  Write an equation that represents the amount y of money you have raised after x miles.

y=(1+5)x+10

200

What is the y-intercept of this equation:

y=3x-7

(0, -7)

300


What is the rate of change and y-intercept?




Rate of Change:  3/2


Y-intercept:  (0,3)

300

What is the rate of change for the table?

X    1    2    3    4    

Y    5    7    9    11

2

300

Write an equation that represents this table:



y=3x+1

300

Gracie has $50 in her bank account when she opens it. Each week she spends $4.75 on lunch at the cafeteria and $0.75 on a juice. Write an equation for y, the amount of money left in Gracie's account, if x is the amount of days she buys her lunch.

y=-$5.50x+50

300

What is the constant of proportionality, k, of the equation: y=15x


15

400

What is the y-intercept of this function?



(0,1)

400

Make a table for this equation 

y=3x-2

Teacher Check

400

Write an equation that represents this situation:


y=2x+4

400

Identify the slope and y-intercept y=2x-8

Slope: 2

Y-intercept: -8

400

What is the y-intercept of this graph:

(0,5)

500

What is the constant of proportionality for the graph? 

k=20

500

Write the equation for this situation.

I had 8 dollars.  I decided to do some chores to make extra money.  I got 10 dollars for each chore I completed.  Let y=total money I have.  Let x=total chores I have completed

y=10x+8

500

Write an equation that represents this situation. 

Camile bought a new cellphone.  The cell phone costs $80 plus 20 cents for every minute she uses.  Let y=total cost in dollars.  Let x=number of minutes

y=.20x+80

500

What does m and b represent in the linear equation y=mx+b

m=slope/rate of change


b=y-intercept/starting point

500

The cost for eight tickets to a Houston Rockets game is $135.60. What is the constant of proportionality, k, that relates the cost in dollars, y, to the number of tickets, x?

Constant of Proportionality (K) = $16.95